634046400 has 336 divisors, whose sum is σ = 2491333600. Its totient is φ = 155934720.

The previous prime is 634046389. The next prime is 634046411. The reversal of 634046400 is 4640436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634046389) and next prime (634046411).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 561036 + ... + 562164.

Almost surely, 2^634046400 is an apocalyptic number.

634046400 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 634046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245666800).

634046400 is an abundant number, since it is smaller than the sum of its proper divisors (1857287200).

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

634046400 is a wasteful number, since it uses less digits than its factorization.

634046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 634046400 is about 25180.2779968768. The cubic root of 634046400 is about 859.0933296617.

Adding to 634046400 its reverse (4640436), we get a palindrome (638686836).

The spelling of 634046400 in words is "six hundred thirty-four million, forty-six thousand, four hundred".