469634400 has 216 divisors, whose sum is σ = 1743716520. Its totient is φ = 118609920.

The previous prime is 469634393. The next prime is 469634413. The reversal of 469634400 is 4436964.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135084 + ... + 138516.

Almost surely, 2^469634400 is an apocalyptic number.

469634400 is a gapful number since it is divisible by the number (40) 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 469634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871858260).

469634400 is an abundant number, since it is smaller than the sum of its proper divisors (1274082120).

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

469634400 is a wasteful number, since it uses less digits than its factorization.

469634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 469634400 is about 21671.0498130570. The cubic root of 469634400 is about 777.2963593736.

The spelling of 469634400 in words is "four hundred sixty-nine million, six hundred thirty-four thousand, four hundred".