45961440 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 10504704.

The previous prime is 45961423. The next prime is 45961463. The reversal of 45961440 is 4416954.

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

It is a super-2 number, since 2×45961440² = 4224907933747200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^45961440 is an apocalyptic number.

45961440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45961440 is an abundant number, since it is smaller than the sum of its proper divisors (119511840).

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

45961440 is a wasteful number, since it uses less digits than its factorization.

45961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13704 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45961440 is about 6779.4867062337. The cubic root of 45961440 is about 358.2046414862.

The spelling of 45961440 in words is "forty-five million, nine hundred sixty-one thousand, four hundred forty".