1452657920 has 432 divisors, whose sum is σ = 4529831040. Its totient is φ = 442810368.

The previous prime is 1452657919. The next prime is 1452657929. The reversal of 1452657920 is 297562541.

It is a super-2 number, since 2×1452657920² = 4220430065077452800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452657929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27408614 + ... + 27408666.

It is an arithmetic number, because the mean of its divisors is an integer number (10485720).

Almost surely, 2^1452657920 is an apocalyptic number.

1452657920 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 1452657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915520).

1452657920 is an abundant number, since it is smaller than the sum of its proper divisors (3077173120).

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

1452657920 is a wasteful number, since it uses less digits than its factorization.

1452657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 1452657920 is about 38113.7497499262. The cubic root of 1452657920 is about 1132.5423531211.

The spelling of 1452657920 in words is "one billion, four hundred fifty-two million, six hundred fifty-seven thousand, nine hundred twenty".