46600400 has 240 divisors, whose sum is σ = 149454720. Its totient is φ = 13516800.

The previous prime is 46600399. The next prime is 46600423. The reversal of 46600400 is 400664.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 523556 + ... + 523644.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^46600400 is an apocalyptic number.

46600400 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 46600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

46600400 is an abundant number, since it is smaller than the sum of its proper divisors (102854320).

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

46600400 is a wasteful number, since it uses less digits than its factorization.

46600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46600400 is about 6826.4485642243. The cubic root of 46600400 is about 359.8569390411.

The spelling of 46600400 in words is "forty-six million, six hundred thousand, four hundred".