46461952 has 66 divisors (see below), whose sum is σ = 99291782. Its totient is φ = 21725184.

The previous prime is 46461941. The next prime is 46461953. The reversal of 46461952 is 25916464.

It can be written as a sum of positive squares in 3 ways, for example, as 14017536 + 32444416 = 3744^2 + 5696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46461953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295858 + ... + 296014.

Almost surely, 2^46461952 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 46461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49645891).

46461952 is an abundant number, since it is smaller than the sum of its proper divisors (52829830).

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

46461952 is a wasteful number, since it uses less digits than its factorization.

46461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 176 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 46461952 is about 6816.3004628611. The cubic root of 46461952 is about 359.5002118147.

The spelling of 46461952 in words is "forty-six million, four hundred sixty-one thousand, nine hundred fifty-two".