629378400 has 144 divisors (see below), whose sum is σ = 2341350144. Its totient is φ = 143854080.

The previous prime is 629378383. The next prime is 629378441. The reversal of 629378400 is 4873926.

It is a super-2 number, since 2×629378400² = 792234340773120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932 + ... + 35531.

It is an arithmetic number, because the mean of its divisors is an integer number (16259376).

Almost surely, 2^629378400 is an apocalyptic number.

629378400 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 629378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170675072).

629378400 is an abundant number, since it is smaller than the sum of its proper divisors (1711971744).

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

629378400 is a wasteful number, since it uses less digits than its factorization.

629378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37493 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 629378400 is about 25087.4151717549. The cubic root of 629378400 is about 856.9798515424.

The spelling of 629378400 in words is "six hundred twenty-nine million, three hundred seventy-eight thousand, four hundred".