60438400 has 192 divisors, whose sum is σ = 174162960. Its totient is φ = 20480000.

The previous prime is 60438377. The next prime is 60438419. The reversal of 60438400 is 483406.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598350 + ... + 598450.

Almost surely, 2^60438400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87081480).

60438400 is an abundant number, since it is smaller than the sum of its proper divisors (113724560).

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

60438400 is a wasteful number, since it uses less digits than its factorization.

60438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 60438400 is about 7774.2137866153. The cubic root of 60438400 is about 392.4379389888.

The spelling of 60438400 in words is "sixty million, four hundred thirty-eight thousand, four hundred".