46671520 has 72 divisors (see below), whose sum is σ = 128284884. Its totient is φ = 15998976.

The previous prime is 46671503. The next prime is 46671539. The reversal of 46671520 is 2517664.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38987536 + 7683984 = 6244^2 + 2772^2 .

It is a super-2 number, since 2×46671520² = 4356461558220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4864 + ... + 10816.

Almost surely, 2^46671520 is an apocalyptic number.

46671520 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 46671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64142442).

46671520 is an abundant number, since it is smaller than the sum of its proper divisors (81613364).

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

46671520 is a wasteful number, since it uses less digits than its factorization.

46671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 46671520 is about 6831.6557290308. The cubic root of 46671520 is about 360.0399132701.

The spelling of 46671520 in words is "forty-six million, six hundred seventy-one thousand, five hundred twenty".