1540472832 has 180 divisors, whose sum is σ = 4607302336. Its totient is φ = 495452160.

The previous prime is 1540472821. The next prime is 1540472849. The reversal of 1540472832 is 2382740451.

It is a happy number.

1540472832 is a `hidden beast` number, since 154 + 0 + 472 + 8 + 32 = 666.

It is a super-2 number, since 2×1540472832² = 4746113092260200448, which contains 22 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4570968 + ... + 4571304.

Almost surely, 2^1540472832 is an apocalyptic number.

1540472832 is a gapful number since it is divisible by the number (12) 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 1540472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303651168).

1540472832 is an abundant number, since it is smaller than the sum of its proper divisors (3066829504).

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

1540472832 is an equidigital number, since it uses as much as digits as its factorization.

1540472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1540472832 is about 39248.8577158623. The cubic root of 1540472832 is about 1154.9185257647.

The spelling of 1540472832 in words is "one billion, five hundred forty million, four hundred seventy-two thousand, eight hundred thirty-two".