638054400 has 312 divisors, whose sum is σ = 2210128384. Its totient is φ = 162201600.

The previous prime is 638054393. The next prime is 638054401. The reversal of 638054400 is 4450836.

It is a super-2 number, since 2×638054400² = 814226834718720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638054401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9523167 + ... + 9523233.

Almost surely, 2^638054400 is an apocalyptic number.

638054400 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 638054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105064192).

638054400 is an abundant number, since it is smaller than the sum of its proper divisors (1572073984).

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

638054400 is a wasteful number, since it uses less digits than its factorization.

638054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 638054400 is about 25259.7387159883. The cubic root of 638054400 is about 860.8997254131.

The spelling of 638054400 in words is "six hundred thirty-eight million, fifty-four thousand, four hundred".