46874880 has 216 divisors, whose sum is σ = 175215768. Its totient is φ = 11501568.

The previous prime is 46874857. The next prime is 46874917. The reversal of 46874880 is 8847864.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 44515584 = 1536^2 + 6672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 149604 + ... + 149916.

Almost surely, 2^46874880 is an apocalyptic number.

46874880 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 46874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87607884).

46874880 is an abundant number, since it is smaller than the sum of its proper divisors (128340888).

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

46874880 is a wasteful number, since it uses less digits than its factorization.

46874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 46874880 is about 6846.5232052480. The cubic root of 46874880 is about 360.5620848967.

It can be divided in two parts, 4 and 6874880, that added together give a square (6874884 = 2622²).

The spelling of 46874880 in words is "forty-six million, eight hundred seventy-four thousand, eight hundred eighty".