46420864 has 64 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 19662336.

The previous prime is 46420861. The next prime is 46420879. The reversal of 46420864 is 46802464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×46420864² = 4309793229012992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46420861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92037 + ... + 92539.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^46420864 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 46420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

46420864 is an abundant number, since it is smaller than the sum of its proper divisors (60507776).

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

46420864 is a wasteful number, since it uses less digits than its factorization.

46420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 46420864 is about 6813.2858445834. The cubic root of 46420864 is about 359.3942075077.

The spelling of 46420864 in words is "forty-six million, four hundred twenty thousand, eight hundred sixty-four".