642431400 has 192 divisors, whose sum is σ = 2238606720. Its totient is φ = 151219200.

The previous prime is 642431389. The next prime is 642431429. The reversal of 642431400 is 4134246.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177610 + ... + 181190.

It is an arithmetic number, because the mean of its divisors is an integer number (11659410).

Almost surely, 2^642431400 is an apocalyptic number.

642431400 is a gapful number since it is divisible by the number (60) 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 642431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119303360).

642431400 is an abundant number, since it is smaller than the sum of its proper divisors (1596175320).

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

642431400 is a wasteful number, since it uses less digits than its factorization.

642431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 642431400 is about 25346.2304889701. The cubic root of 642431400 is about 862.8638078747.

Adding to 642431400 its reverse (4134246), we get a palindrome (646565646).

The spelling of 642431400 in words is "six hundred forty-two million, four hundred thirty-one thousand, four hundred".