46478400 has 168 divisors, whose sum is σ = 159495744. Its totient is φ = 11827200.

The previous prime is 46478321. The next prime is 46478417. The reversal of 46478400 is 487464.

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, 110190 + ... + 110610.

Almost surely, 2^46478400 is an apocalyptic number.

46478400 is a gapful number since it is divisible by the number (40) 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 46478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79747872).

46478400 is an abundant number, since it is smaller than the sum of its proper divisors (113017344).

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

46478400 is a wasteful number, since it uses less digits than its factorization.

46478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

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

The square root of 46478400 is about 6817.5068756841. The cubic root of 46478400 is about 359.5426290443.

The spelling of 46478400 in words is "forty-six million, four hundred seventy-eight thousand, four hundred".