1540590432 has 144 divisors (see below), whose sum is σ = 4285567440. Its totient is φ = 483997696.

The previous prime is 1540590343. The next prime is 1540590449. The reversal of 1540590432 is 2340950451.

1540590432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1540590393 and 1540590402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7820158 + ... + 7820354.

It is an arithmetic number, because the mean of its divisors is an integer number (29760885).

Almost surely, 2^1540590432 is an apocalyptic number.

1540590432 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 1540590432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142783720).

1540590432 is an abundant number, since it is smaller than the sum of its proper divisors (2744977008).

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

1540590432 is a wasteful number, since it uses less digits than its factorization.

1540590432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1540590432 is about 39250.3558200432. The cubic root of 1540590432 is about 1154.9479139196.

The spelling of 1540590432 in words is "one billion, five hundred forty million, five hundred ninety thousand, four hundred thirty-two".