46521972 has 144 divisors (see below), whose sum is σ = 143640000. Its totient is φ = 12979008.

The previous prime is 46521971. The next prime is 46521973. The reversal of 46521972 is 27912564.

46521972 is a `hidden beast` number, since 46 + 521 + 97 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (46521971) and next prime (46521973).

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 (46521971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312154 + ... + 312302.

It is an arithmetic number, because the mean of its divisors is an integer number (997500).

Almost surely, 2^46521972 is an apocalyptic number.

46521972 is a gapful number since it is divisible by the number (42) 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 46521972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820000).

46521972 is an abundant number, since it is smaller than the sum of its proper divisors (97118028).

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

46521972 is a wasteful number, since it uses less digits than its factorization.

46521972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 46521972 is about 6820.7017234299. The cubic root of 46521972 is about 359.6549471572.

The spelling of 46521972 in words is "forty-six million, five hundred twenty-one thousand, nine hundred seventy-two".