46249920 has 224 divisors, whose sum is σ = 167883840. Its totient is φ = 11980800.

The previous prime is 46249913. The next prime is 46249921. The reversal of 46249920 is 2994264.

46249920 is a `hidden beast` number, since 4 + 624 + 9 + 9 + 20 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46249921) 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, 457870 + ... + 457970.

Almost surely, 2^46249920 is an apocalyptic number.

46249920 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 46249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83941920).

46249920 is an abundant number, since it is smaller than the sum of its proper divisors (121633920).

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

46249920 is a wasteful number, since it uses less digits than its factorization.

46249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46249920 is about 6800.7293726482. The cubic root of 46249920 is about 358.9525106396.

The spelling of 46249920 in words is "forty-six million, two hundred forty-nine thousand, nine hundred twenty".