46777480 has 64 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 18170880.

The previous prime is 46777477. The next prime is 46777483. The reversal of 46777480 is 8477764.

It is an interprime number because it is at equal distance from previous prime (46777477) and next prime (46777483).

It is not an unprimeable number, because it can be changed into a prime (46777483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357015 + ... + 357145.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 2^46777480 is an apocalyptic number.

46777480 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 46777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

46777480 is an abundant number, since it is smaller than the sum of its proper divisors (61568120).

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

46777480 is a wasteful number, since it uses less digits than its factorization.

46777480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The square root of 46777480 is about 6839.4064069918. The cubic root of 46777480 is about 360.3121777732.

The spelling of 46777480 in words is "forty-six million, seven hundred seventy-seven thousand, four hundred eighty".