629942400 has 384 divisors, whose sum is σ = 2413238400. Its totient is φ = 160174080.

The previous prime is 629942329. The next prime is 629942419. The reversal of 629942400 is 4249926.

629942400 is a `hidden beast` number, since 629 + 9 + 4 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1987042 + ... + 1987358.

It is an arithmetic number, because the mean of its divisors is an integer number (6284475).

Almost surely, 2^629942400 is an apocalyptic number.

629942400 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 629942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206619200).

629942400 is an abundant number, since it is smaller than the sum of its proper divisors (1783296000).

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

629942400 is a wasteful number, since it uses less digits than its factorization.

629942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 629942400 is about 25098.6533503294. The cubic root of 629942400 is about 857.2357613585.

The spelling of 629942400 in words is "six hundred twenty-nine million, nine hundred forty-two thousand, four hundred".