46677920 has 72 divisors (see below), whose sum is σ = 117661572. Its totient is φ = 17438720.

The previous prime is 46677913. The next prime is 46677923. The reversal of 46677920 is 2977664.

It can be written as a sum of positive squares in 2 ways, for example, as 46403344 + 274576 = 6812^2 + 524^2 .

It is not an unprimeable number, because it can be changed into a prime (46677923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356255 + ... + 356385.

Almost surely, 2^46677920 is an apocalyptic number.

46677920 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 46677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58830786).

46677920 is an abundant number, since it is smaller than the sum of its proper divisors (70983652).

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

46677920 is a wasteful number, since it uses less digits than its factorization.

46677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 46677920 is about 6832.1241206524. The cubic root of 46677920 is about 360.0563697738.

The spelling of 46677920 in words is "forty-six million, six hundred seventy-seven thousand, nine hundred twenty".