1049461920 has 240 divisors, whose sum is σ = 3989268360. Its totient is φ = 258287616.

The previous prime is 1049461859. The next prime is 1049461921. The reversal of 1049461920 is 291649401.

It is a happy number.

1049461920 is a `hidden beast` number, since 10 + 4 + 9 + 4 + 619 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658846224 + 390615696 = 25668^2 + 19764^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1049461920³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1049461921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165366 + ... + 171594.

Almost surely, 2^1049461920 is an apocalyptic number.

1049461920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994634180).

1049461920 is an abundant number, since it is smaller than the sum of its proper divisors (2939806440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1049461920 is a wasteful number, since it uses less digits than its factorization.

1049461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1049461920 is about 32395.3996734104. The cubic root of 1049461920 is about 1016.2227072912. Note that the first 3 decimals are identical.

The spelling of 1049461920 in words is "one billion, forty-nine million, four hundred sixty-one thousand, nine hundred twenty".