46148400 has 120 divisors (see below), whose sum is σ = 164292560. Its totient is φ = 12303360.

The previous prime is 46148393. The next prime is 46148413. The reversal of 46148400 is 484164.

46148400 is a `hidden beast` number, since 4 + 614 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8664 + ... + 12936.

Almost surely, 2^46148400 is an apocalyptic number.

46148400 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 46148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82146280).

46148400 is an abundant number, since it is smaller than the sum of its proper divisors (118144160).

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

46148400 is a wasteful number, since it uses less digits than its factorization.

46148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46148400 is about 6793.2613669724. The cubic root of 46148400 is about 358.6896809642.

The spelling of 46148400 in words is "forty-six million, one hundred forty-eight thousand, four hundred".