1457424072 has 96 divisors (see below), whose sum is σ = 4435704000. Its totient is φ = 428934528.

The previous prime is 1457424071. The next prime is 1457424079. The reversal of 1457424072 is 2704247541.

1457424072 is a `hidden beast` number, since 14 + 574 + 2 + 4 + 0 + 72 = 666.

It is a super-2 number, since 2×1457424072² = 4248169851290122368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1457424071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12322 + ... + 55377.

It is an arithmetic number, because the mean of its divisors is an integer number (46205250).

Almost surely, 2^1457424072 is an apocalyptic number.

1457424072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1457424072 is an abundant number, since it is smaller than the sum of its proper divisors (2978279928).

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

1457424072 is a wasteful number, since it uses less digits than its factorization.

1457424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67747 (or 67740 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 1457424072 is about 38176.2239096535. The cubic root of 1457424072 is about 1133.7796199311.

The spelling of 1457424072 in words is "one billion, four hundred fifty-seven million, four hundred twenty-four thousand, seventy-two".