64478400 has 336 divisors, whose sum is σ = 257007360. Its totient is φ = 13824000.

The previous prime is 64478377. The next prime is 64478411. The reversal of 64478400 is 487446.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638350 + ... + 638450.

Almost surely, 2^64478400 is an apocalyptic number.

64478400 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 64478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128503680).

64478400 is an abundant number, since it is smaller than the sum of its proper divisors (192528960).

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

64478400 is a wasteful number, since it uses less digits than its factorization.

64478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 64478400 is about 8029.8443322396. The cubic root of 64478400 is about 400.9941935673.

The spelling of 64478400 in words is "sixty-four million, four hundred seventy-eight thousand, four hundred".