634670400 has 336 divisors, whose sum is σ = 2564530304. Its totient is φ = 133816320.

The previous prime is 634670353. The next prime is 634670461. The reversal of 634670400 is 4076436.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436074 + ... + 437526.

Almost surely, 2^634670400 is an apocalyptic number.

634670400 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 634670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282265152).

634670400 is an abundant number, since it is smaller than the sum of its proper divisors (1929859904).

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

634670400 is a wasteful number, since it uses less digits than its factorization.

634670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 634670400 is about 25192.6655993366. The cubic root of 634670400 is about 859.3750642865.

The spelling of 634670400 in words is "six hundred thirty-four million, six hundred seventy thousand, four hundred".