1457887200 has 720 divisors, whose sum is σ = 6301846656. Its totient is φ = 289766400.

The previous prime is 1457887141. The next prime is 1457887201. The reversal of 1457887200 is 27887541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457887201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63386389 + ... + 63386411.

Almost surely, 2^1457887200 is an apocalyptic number.

1457887200 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 1457887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150923328).

1457887200 is an abundant number, since it is smaller than the sum of its proper divisors (4843959456).

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

1457887200 is a wasteful number, since it uses less digits than its factorization.

1457887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 1457887200 is about 38182.2890880052. The cubic root of 1457887200 is about 1133.8997015392.

The spelling of 1457887200 in words is "one billion, four hundred fifty-seven million, eight hundred eighty-seven thousand, two hundred".