46214160 has 160 divisors (see below), whose sum is σ = 155561472. Its totient is φ = 11304960.

The previous prime is 46214159. The next prime is 46214167. The reversal of 46214160 is 6141264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46214160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46214167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191640 + ... + 191880.

Almost surely, 2^46214160 is an apocalyptic number.

46214160 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 46214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780736).

46214160 is an abundant number, since it is smaller than the sum of its proper divisors (109347312).

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

46214160 is a wasteful number, since it uses less digits than its factorization.

46214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46214160 is about 6798.0997344846. The cubic root of 46214160 is about 358.8599738924.

The spelling of 46214160 in words is "forty-six million, two hundred fourteen thousand, one hundred sixty".