152431400 has 96 divisors (see below), whose sum is σ = 389707200. Its totient is φ = 54988800.

The previous prime is 152431393. The next prime is 152431483. The reversal of 152431400 is 4134251.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 424421 + ... + 424779.

It is an arithmetic number, because the mean of its divisors is an integer number (4059450).

Almost surely, 2^152431400 is an apocalyptic number.

152431400 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 152431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194853600).

152431400 is an abundant number, since it is smaller than the sum of its proper divisors (237275800).

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

152431400 is a wasteful number, since it uses less digits than its factorization.

152431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 152431400 is about 12346.3111899871. The cubic root of 152431400 is about 534.1847425243.

Adding to 152431400 its reverse (4134251), we get a palindrome (156565651).

The spelling of 152431400 in words is "one hundred fifty-two million, four hundred thirty-one thousand, four hundred".