1457920000 has 240 divisors, whose sum is σ = 3914590680. Its totient is φ = 540672000.

The previous prime is 1457919997. The next prime is 1457920003. The reversal of 1457920000 is 297541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1457919997) and next prime (1457920003).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457920003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21759967 + ... + 21760033.

Almost surely, 2^1457920000 is an apocalyptic number.

1457920000 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 1457920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957295340).

1457920000 is an abundant number, since it is smaller than the sum of its proper divisors (2456670680).

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

1457920000 is an frugal number, since it uses more digits than its factorization.

1457920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1457920000 is about 38182.7186041015. The cubic root of 1457920000 is about 1133.9082050849.

The spelling of 1457920000 in words is "one billion, four hundred fifty-seven million, nine hundred twenty thousand".