642242400 has 72 divisors (see below), whose sum is σ = 2090506824. Its totient is φ = 171264000.

The previous prime is 642242387. The next prime is 642242401. The reversal of 642242400 is 4242246.

642242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (642242401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131401 + ... + 136200.

It is an arithmetic number, because the mean of its divisors is an integer number (29034817).

Almost surely, 2^642242400 is an apocalyptic number.

642242400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642242400 is an abundant number, since it is smaller than the sum of its proper divisors (1448264424).

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

642242400 is a wasteful number, since it uses less digits than its factorization.

642242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267624 (or 267611 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 642242400 is about 25342.5018496596. The cubic root of 642242400 is about 862.7791828834.

Adding to 642242400 its reverse (4242246), we get a palindrome (646484646).

The spelling of 642242400 in words is "six hundred forty-two million, two hundred forty-two thousand, four hundred".