1457030400 has 432 divisors, whose sum is σ = 5663220864. Its totient is φ = 322928640.

The previous prime is 1457030369. The next prime is 1457030401. The reversal of 1457030400 is 40307541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457030401) 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 47 ways as a sum of consecutive naturals, for example, 4972654 + ... + 4972946.

Almost surely, 2^1457030400 is an apocalyptic number.

1457030400 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 1457030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831610432).

1457030400 is an abundant number, since it is smaller than the sum of its proper divisors (4206190464).

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

1457030400 is a wasteful number, since it uses less digits than its factorization.

1457030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1457030400 is about 38171.0675774205. The cubic root of 1457030400 is about 1133.6775271377.

Adding to 1457030400 its reverse (40307541), we get a palindrome (1497337941).

The spelling of 1457030400 in words is "one billion, four hundred fifty-seven million, thirty thousand, four hundred".