642453000 has 128 divisors (see below), whose sum is σ = 2290878720. Its totient is φ = 146841600.

The previous prime is 642452999. The next prime is 642453013. The reversal of 642453000 is 354246.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5704 + ... + 36296.

It is an arithmetic number, because the mean of its divisors is an integer number (17897490).

Almost surely, 2^642453000 is an apocalyptic number.

642453000 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 642453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145439360).

642453000 is an abundant number, since it is smaller than the sum of its proper divisors (1648425720).

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

642453000 is a wasteful number, since it uses less digits than its factorization.

642453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30624 (or 30610 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 642453000 is about 25346.6565842519. The cubic root of 642453000 is about 862.8734782454.

The spelling of 642453000 in words is "six hundred forty-two million, four hundred fifty-three thousand".