46958400 has 168 divisors, whose sum is σ = 171338240. Its totient is φ = 12510720.

The previous prime is 46958383. The next prime is 46958423. The reversal of 46958400 is 485964.

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

It is a congruent number.

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, 42657 + ... + 43743.

Almost surely, 2^46958400 is an apocalyptic number.

46958400 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 46958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85669120).

46958400 is an abundant number, since it is smaller than the sum of its proper divisors (124379840).

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

46958400 is a wasteful number, since it uses less digits than its factorization.

46958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46958400 is about 6852.6199369292. The cubic root of 46958400 is about 360.7761034184.

The spelling of 46958400 in words is "forty-six million, nine hundred fifty-eight thousand, four hundred".