94838400 has 288 divisors, whose sum is σ = 351456300. Its totient is φ = 24330240.

The previous prime is 94838399. The next prime is 94838411. The reversal of 94838400 is 483849.

It can be written as a sum of positive squares in 6 ways, for example, as 39841344 + 54997056 = 6312^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×94838400² = 17988644229120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1065556 + ... + 1065644.

Almost surely, 2^94838400 is an apocalyptic number.

94838400 is a gapful number since it is divisible by the number (90) 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 94838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175728150).

94838400 is an abundant number, since it is smaller than the sum of its proper divisors (256617900).

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

94838400 is a wasteful number, since it uses less digits than its factorization.

94838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 94838400 is about 9738.5009113313. The cubic root of 94838400 is about 456.0313921140.

The spelling of 94838400 in words is "ninety-four million, eight hundred thirty-eight thousand, four hundred".