642446400 has 84 divisors (see below), whose sum is σ = 2107775312. Its totient is φ = 171317760.

The previous prime is 642446393. The next prime is 642446417. The reversal of 642446400 is 4644246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62122 + ... + 71721.

Almost surely, 2^642446400 is an apocalyptic number.

642446400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642446400 is an abundant number, since it is smaller than the sum of its proper divisors (1465328912).

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

642446400 is a wasteful number, since it uses less digits than its factorization.

642446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133868 (or 133853 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 642446400 is about 25346.5263892313. The cubic root of 642446400 is about 862.8705234329.

The spelling of 642446400 in words is "six hundred forty-two million, four hundred forty-six thousand, four hundred".