46928400 has 60 divisors (see below), whose sum is σ = 150331152. Its totient is φ = 12513920.

The previous prime is 46928393. The next prime is 46928429. The reversal of 46928400 is 482964.

It is a tau number, because it is divible by the number of its divisors (60).

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, 18354 + ... + 20753.

Almost surely, 2^46928400 is an apocalyptic number.

46928400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46928400 is an abundant number, since it is smaller than the sum of its proper divisors (103402752).

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

46928400 is a wasteful number, since it uses less digits than its factorization.

46928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39128 (or 39117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 46928400 is about 6850.4306433975. The cubic root of 46928400 is about 360.6992581768.

The spelling of 46928400 in words is "forty-six million, nine hundred twenty-eight thousand, four hundred".