64486400 has 132 divisors (see below), whose sum is σ = 175141320. Its totient is φ = 23347200.

The previous prime is 64486381. The next prime is 64486421. The reversal of 64486400 is 468446.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281486 + ... + 281714.

Almost surely, 2^64486400 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 64486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87570660).

64486400 is an abundant number, since it is smaller than the sum of its proper divisors (110654920).

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

64486400 is a wasteful number, since it uses less digits than its factorization.

64486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 64486400 is about 8030.3424584509. The cubic root of 64486400 is about 401.0107770065.

The spelling of 64486400 in words is "sixty-four million, four hundred eighty-six thousand, four hundred".