424465280100 has 567 divisors, whose sum is σ = 1469079427977. Its totient is φ = 106388976960.

The previous prime is 424465280093. The next prime is 424465280177. The reversal of 424465280100 is 1082564424.

The square root of 424465280100 is 651510.

It is a perfect power (a square), and thus also a powerful number.

424465280100 is a `hidden beast` number, since 4 + 24 + 4 + 6 + 528 + 0 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152807500836 + 271657779264 = 390906^2 + 521208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3342246237 + ... + 3342246363.

Almost surely, 2^424465280100 is an apocalyptic number.

424465280100 is the 651510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424465280100

424465280100 is an abundant number, since it is smaller than the sum of its proper divisors (1044614147877).

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

424465280100 is a wasteful number, since it uses less digits than its factorization.

424465280100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 424465280100 by its sum of digits (36), we get a square (15280750083600 = 3909060²).

424465280100 divided by its sum of digits (36) gives a square (11790702225 = 108585²).

The spelling of 424465280100 in words is "four hundred twenty-four billion, four hundred sixty-five million, two hundred eighty thousand, one hundred".