238124480400 has 225 divisors, whose sum is σ = 854925005473. Its totient is φ = 63476438400.

The previous prime is 238124480329. The next prime is 238124480411. The reversal of 238124480400 is 4084421832.

The square root of 238124480400 is 487980.

It is a perfect power (a square), and thus also a powerful number.

238124480400 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 244 + 8 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85724812944 + 152399667456 = 292788^2 + 390384^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87835045 + ... + 87837755.

Almost surely, 2^238124480400 is an apocalyptic number.

238124480400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238124480400 is the 487980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238124480400

238124480400 is an abundant number, since it is smaller than the sum of its proper divisors (616800525073).

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

238124480400 is an frugal number, since it uses more digits than its factorization.

238124480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 238124480400 by its sum of digits (36), we get a square (8572481294400 = 2927880²).

238124480400 divided by its sum of digits (36) gives a square (6614568900 = 81330²).

The spelling of 238124480400 in words is "two hundred thirty-eight billion, one hundred twenty-four million, four hundred eighty thousand, four hundred".