46992480 has 96 divisors (see below), whose sum is σ = 151248384. Its totient is φ = 12258816.

The previous prime is 46992469. The next prime is 46992481. The reversal of 46992480 is 8429964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46992481) 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, 21519 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (1575504).

Almost surely, 2^46992480 is an apocalyptic number.

46992480 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 46992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75624192).

46992480 is an abundant number, since it is smaller than the sum of its proper divisors (104255904).

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

46992480 is a wasteful number, since it uses less digits than its factorization.

46992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 46992480 is about 6855.1061260932. The cubic root of 46992480 is about 360.8633599148.

The spelling of 46992480 in words is "forty-six million, nine hundred ninety-two thousand, four hundred eighty".