1452971520 has 1200 divisors, whose sum is σ = 7112076048. Its totient is φ = 278691840.

The previous prime is 1452971501. The next prime is 1452971551. The reversal of 1452971520 is 251792541.

1452971520 is a `hidden beast` number, since 1 + 45 + 2 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×1452971520² = 4222252475862220800, 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111767034 + ... + 111767046.

Almost surely, 2^1452971520 is an apocalyptic number.

1452971520 is a gapful number since it is divisible by the number (10) 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 1452971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556038024).

1452971520 is an abundant number, since it is smaller than the sum of its proper divisors (5659104528).

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

1452971520 is a wasteful number, since it uses less digits than its factorization.

1452971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1452971520 is about 38117.8635287971. The cubic root of 1452971520 is about 1132.6238450591.

The spelling of 1452971520 in words is "one billion, four hundred fifty-two million, nine hundred seventy-one thousand, five hundred twenty".