45950480 has 40 divisors (see below), whose sum is σ = 107123352. Its totient is φ = 18330624.

The previous prime is 45950467. The next prime is 45950497. The reversal of 45950480 is 8405954.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 41422096 = 2128^2 + 6436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45950480² = 4222893224460800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45950480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48572 + ... + 49508.

Almost surely, 2^45950480 is an apocalyptic number.

45950480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45950480 is an abundant number, since it is smaller than the sum of its proper divisors (61172872).

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

45950480 is a wasteful number, since it uses less digits than its factorization.

45950480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45950480 is about 6778.6783372572. The cubic root of 45950480 is about 358.1761666388.

It can be divided in two parts, 45 and 950480, that multiplied together give a square (42771600 = 6540²).

The spelling of 45950480 in words is "forty-five million, nine hundred fifty thousand, four hundred eighty".