46008972 has 60 divisors (see below), whose sum is σ = 121026136. Its totient is φ = 15240960.

The previous prime is 46008971. The next prime is 46008979. The reversal of 46008972 is 27980064.

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 not an unprimeable number, because it can be changed into a prime (46008971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68028 + ... + 68700.

Almost surely, 2^46008972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46008972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60513068).

46008972 is an abundant number, since it is smaller than the sum of its proper divisors (75017164).

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

46008972 is a wasteful number, since it uses less digits than its factorization.

46008972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 46008972 is about 6782.9913754921. The cubic root of 46008972 is about 358.3280805912.

The spelling of 46008972 in words is "forty-six million, eight thousand, nine hundred seventy-two".