46681920 has 140 divisors (see below), whose sum is σ = 166148004. Its totient is φ = 12441600.

The previous prime is 46681913. The next prime is 46681933. The reversal of 46681920 is 2918664.

46681920 is a `hidden beast` number, since 466 + 8 + 192 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 35712576 = 3312^2 + 5976^2 .

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 19 ways as a sum of consecutive naturals, for example, 25020 + ... + 26820.

Almost surely, 2^46681920 is an apocalyptic number.

46681920 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 46681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83074002).

46681920 is an abundant number, since it is smaller than the sum of its proper divisors (119466084).

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

46681920 is a wasteful number, since it uses less digits than its factorization.

46681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46681920 is about 6832.4168491098. The cubic root of 46681920 is about 360.0666543248.

The spelling of 46681920 in words is "forty-six million, six hundred eighty-one thousand, nine hundred twenty".