46529952 has 96 divisors (see below), whose sum is σ = 147837312. Its totient is φ = 12509184.

The previous prime is 46529939. The next prime is 46529963. The reversal of 46529952 is 25992564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9388 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (1539972).

Almost surely, 2^46529952 is an apocalyptic number.

46529952 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 46529952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73918656).

46529952 is an abundant number, since it is smaller than the sum of its proper divisors (101307360).

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

46529952 is a wasteful number, since it uses less digits than its factorization.

46529952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4102 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 46529952 is about 6821.2866821444. The cubic root of 46529952 is about 359.6755100745.

The spelling of 46529952 in words is "forty-six million, five hundred twenty-nine thousand, nine hundred fifty-two".