1461299040 has 288 divisors, whose sum is σ = 5215837536. Its totient is φ = 372203520.

The previous prime is 1461298991. The next prime is 1461299041. The reversal of 1461299040 is 409921641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1461298986 and 1461299004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461299041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3128887 + ... + 3129353.

It is an arithmetic number, because the mean of its divisors is an integer number (18110547).

Almost surely, 2^1461299040 is an apocalyptic number.

1461299040 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 1461299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607918768).

1461299040 is an abundant number, since it is smaller than the sum of its proper divisors (3754538496).

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

1461299040 is a wasteful number, since it uses less digits than its factorization.

1461299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

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

The square root of 1461299040 is about 38226.9412849106. The cubic root of 1461299040 is about 1134.7835537243.

The spelling of 1461299040 in words is "one billion, four hundred sixty-one million, two hundred ninety-nine thousand, forty".