46865952 has 252 divisors, whose sum is σ = 164848446. Its totient is φ = 13063680.

The previous prime is 46865941. The next prime is 46865953. The reversal of 46865952 is 25956864.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 571536 = 6804^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 46865898 and 46865907.

It is not an unprimeable number, because it can be changed into a prime (46865953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1143052 + ... + 1143092.

Almost surely, 2^46865952 is an apocalyptic number.

46865952 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 46865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424223).

46865952 is an abundant number, since it is smaller than the sum of its proper divisors (117982494).

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

46865952 is an equidigital number, since it uses as much as digits as its factorization.

46865952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 46865952 is about 6845.8711644319. The cubic root of 46865952 is about 360.5391920189.

The spelling of 46865952 in words is "forty-six million, eight hundred sixty-five thousand, nine hundred fifty-two".