45400960 has 64 divisors (see below), whose sum is σ = 118422000. Its totient is φ = 16506880.

The previous prime is 45400951. The next prime is 45400967. The reversal of 45400960 is 6900454.

45400960 = T₄₂₅₉ + T₄₂₆₀ + ... + T₄₂₆₃.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45400960² = 4122494337843200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3816 + ... + 10264.

Almost surely, 2^45400960 is an apocalyptic number.

45400960 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 45400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59211000).

45400960 is an abundant number, since it is smaller than the sum of its proper divisors (73021040).

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

45400960 is a wasteful number, since it uses less digits than its factorization.

45400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45400960 is about 6738.0234490539. The cubic root of 45400960 is about 356.7426318914.

It can be divided in two parts, 45400 and 960, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 45400960 in words is "forty-five million, four hundred thousand, nine hundred sixty".