5345400456 has 96 divisors (see below), whose sum is σ = 15805389600. Its totient is φ = 1618571520.

The previous prime is 5345400451. The next prime is 5345400469. The reversal of 5345400456 is 6540045435.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5345400456.

It is not an unprimeable number, because it can be changed into a prime (5345400451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041260 + ... + 2043876.

It is an arithmetic number, because the mean of its divisors is an integer number (164639475).

Almost surely, 2^5345400456 is an apocalyptic number.

It is an amenable number.

5345400456 is an abundant number, since it is smaller than the sum of its proper divisors (10459989144).

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

5345400456 is a wasteful number, since it uses less digits than its factorization.

5345400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5345400456 is about 73112.2455953857. The cubic root of 5345400456 is about 1748.4776372451.

The spelling of 5345400456 in words is "five billion, three hundred forty-five million, four hundred thousand, four hundred fifty-six".