638114400 has 432 divisors, whose sum is σ = 2807820288. Its totient is φ = 132480000.

The previous prime is 638114387. The next prime is 638114401. The reversal of 638114400 is 4411836.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (638114401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553825 + ... + 554975.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^638114400 is an apocalyptic number.

638114400 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 638114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

638114400 is an abundant number, since it is smaller than the sum of its proper divisors (2169705888).

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

638114400 is a wasteful number, since it uses less digits than its factorization.

638114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 638114400 is about 25260.9263488099. The cubic root of 638114400 is about 860.9267097186.

The spelling of 638114400 in words is "six hundred thirty-eight million, one hundred fourteen thousand, four hundred".