1457616032 has 48 divisors (see below), whose sum is σ = 2975761152. Its totient is φ = 702082560.

The previous prime is 1457616031. The next prime is 1457616049. The reversal of 1457616032 is 2306167541.

It is a junction number, because it is equal to n+sod(n) for n = 1457615983 and 1457616001.

It is not an unprimeable number, because it can be changed into a prime (1457616031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221948 + ... + 228420.

It is an arithmetic number, because the mean of its divisors is an integer number (61995024).

Almost surely, 2^1457616032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487880576).

1457616032 is an abundant number, since it is smaller than the sum of its proper divisors (1518145120).

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

1457616032 is a wasteful number, since it uses less digits than its factorization.

1457616032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1457616032 is about 38178.7379571405. The cubic root of 1457616032 is about 1133.8293951442.

The spelling of 1457616032 in words is "one billion, four hundred fifty-seven million, six hundred sixteen thousand, thirty-two".