1457535972 has 24 divisors (see below), whose sum is σ = 3401909056. Its totient is φ = 485703648.

The previous prime is 1457535943. The next prime is 1457535973. The reversal of 1457535972 is 2795357541.

1457535972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1457535972² = 4248822219347969568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1457535973) 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, 30378 + ... + 61950.

Almost surely, 2^1457535972 is an apocalyptic number.

1457535972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1457535972 is an abundant number, since it is smaller than the sum of its proper divisors (1944373084).

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

1457535972 is a wasteful number, since it uses less digits than its factorization.

1457535972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35427 (or 35425 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 48.

The square root of 1457535972 is about 38177.6894533967. The cubic root of 1457535972 is about 1133.8086361237.

The spelling of 1457535972 in words is "one billion, four hundred fifty-seven million, five hundred thirty-five thousand, nine hundred seventy-two".