1900290480 has 120 divisors (see below), whose sum is σ = 6475220976. Its totient is φ = 460669440.

The previous prime is 1900290473. The next prime is 1900290493. The reversal of 1900290480 is 840920091.

1900290480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1900290480² = 7222207816757260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679 + ... + 61758.

Almost surely, 2^1900290480 is an apocalyptic number.

1900290480 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 1900290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237610488).

1900290480 is an abundant number, since it is smaller than the sum of its proper divisors (4574930496).

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

1900290480 is a wasteful number, since it uses less digits than its factorization.

1900290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65475 (or 65458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1900290480 is about 43592.3213421814. The cubic root of 1900290480 is about 1238.6254452885.

The spelling of 1900290480 in words is "one billion, nine hundred million, two hundred ninety thousand, four hundred eighty".