1457318400 has 120 divisors (see below), whose sum is σ = 4814287104. Its totient is φ = 388608000.

The previous prime is 1457318393. The next prime is 1457318417. The reversal of 1457318400 is 48137541.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19425 + ... + 57375.

Almost surely, 2^1457318400 is an apocalyptic number.

1457318400 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 1457318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407143552).

1457318400 is an abundant number, since it is smaller than the sum of its proper divisors (3356968704).

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

1457318400 is an equidigital number, since it uses as much as digits as its factorization.

1457318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37982 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1457318400 is about 38174.8398817860. The cubic root of 1457318400 is about 1133.7522173245.

The spelling of 1457318400 in words is "one billion, four hundred fifty-seven million, three hundred eighteen thousand, four hundred".