45963456 has 112 divisors (see below), whose sum is σ = 151668480. Its totient is φ = 11934720.

The previous prime is 45963409. The next prime is 45963457. The reversal of 45963456 is 65436954.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×45963456² = 4225278574927872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45963457) 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, 13230 + ... + 16338.

Almost surely, 2^45963456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75834240).

45963456 is an abundant number, since it is smaller than the sum of its proper divisors (105705024).

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

45963456 is a wasteful number, since it uses less digits than its factorization.

45963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 45963456 is about 6779.6353884261. The cubic root of 45963456 is about 358.2098787024.

The spelling of 45963456 in words is "forty-five million, nine hundred sixty-three thousand, four hundred fifty-six".