638150400 has 270 divisors, whose sum is σ = 2361449552. Its totient is φ = 170035200.

The previous prime is 638150389. The next prime is 638150441. The reversal of 638150400 is 4051836.

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-3 number, since 3×638150400³ (a number of 27 digits) contains 333 as substring.

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 29 ways as a sum of consecutive naturals, for example, 517785 + ... + 519015.

Almost surely, 2^638150400 is an apocalyptic number.

638150400 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 638150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180724776).

638150400 is an abundant number, since it is smaller than the sum of its proper divisors (1723299152).

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

638150400 is a wasteful number, since it uses less digits than its factorization.

638150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 638150400 is about 25261.6389017023. The cubic root of 638150400 is about 860.9428994900.

The spelling of 638150400 in words is "six hundred thirty-eight million, one hundred fifty thousand, four hundred".