46266880 has 160 divisors (see below), whose sum is σ = 127277568. Its totient is φ = 15974400.

The previous prime is 46266863. The next prime is 46266893. The reversal of 46266880 is 8866264.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 872934 + ... + 872986.

Almost surely, 2^46266880 is an apocalyptic number.

46266880 is a gapful number since it is divisible by the number (40) 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 46266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784).

46266880 is an abundant number, since it is smaller than the sum of its proper divisors (81010688).

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

46266880 is a wasteful number, since it uses less digits than its factorization.

46266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 46266880 is about 6801.9761834338. The cubic root of 46266880 is about 358.9963816386.

The spelling of 46266880 in words is "forty-six million, two hundred sixty-six thousand, eight hundred eighty".