46267920 has 120 divisors (see below), whose sum is σ = 156686400. Its totient is φ = 12235008.

The previous prime is 46267919. The next prime is 46267937. The reversal of 46267920 is 2976264.

It is a happy number.

46267920 is a `hidden beast` number, since 4 + 626 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×46267920² = 4281440842252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128701 + ... + 129059.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^46267920 is an apocalyptic number.

46267920 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 46267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

46267920 is an abundant number, since it is smaller than the sum of its proper divisors (110418480).

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

46267920 is a wasteful number, since it uses less digits than its factorization.

46267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 46267920 is about 6802.0526313753. The cubic root of 46267920 is about 358.9990714925. Note that the first 3 decimals are identical.

The spelling of 46267920 in words is "forty-six million, two hundred sixty-seven thousand, nine hundred twenty".