424630900 has 72 divisors (see below), whose sum is σ = 948439296. Its totient is φ = 164937600.

The previous prime is 424630897. The next prime is 424630903. The reversal of 424630900 is 9036424.

It is an interprime number because it is at equal distance from previous prime (424630897) and next prime (424630903).

It is a super-2 number, since 2×424630900² = 360622802469620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424630903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784630 + ... + 785170.

It is an arithmetic number, because the mean of its divisors is an integer number (13172768).

Almost surely, 2^424630900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474219648).

424630900 is an abundant number, since it is smaller than the sum of its proper divisors (523808396).

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

424630900 is a wasteful number, since it uses less digits than its factorization.

424630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 424630900 is about 20606.5741936888. The cubic root of 424630900 is about 751.6295826421.

The spelling of 424630900 in words is "four hundred twenty-four million, six hundred thirty thousand, nine hundred".