46688400 has 300 divisors, whose sum is σ = 184189104. Its totient is φ = 11232000.

The previous prime is 46688399. The next prime is 46688401. The reversal of 46688400 is 488664.

It is an interprime number because it is at equal distance from previous prime (46688399) and next prime (46688401).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46688401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356335 + ... + 356465.

Almost surely, 2^46688400 is an apocalyptic number.

46688400 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 46688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92094552).

46688400 is an abundant number, since it is smaller than the sum of its proper divisors (137500704).

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

46688400 is a wasteful number, since it uses less digits than its factorization.

46688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46688400 is about 6832.8910425968. The cubic root of 46688400 is about 360.0833140506.

The spelling of 46688400 in words is "forty-six million, six hundred eighty-eight thousand, four hundred".