5094008400 has 120 divisors (see below), whose sum is σ = 17573076640. Its totient is φ = 1253905920.

The previous prime is 5094008399. The next prime is 5094008417. The reversal of 5094008400 is 48004905.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147670 + ... + 178869.

Almost surely, 2^5094008400 is an apocalyptic number.

5094008400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5094008400 is an abundant number, since it is smaller than the sum of its proper divisors (12479068240).

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

5094008400 is a wasteful number, since it uses less digits than its factorization.

5094008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326573 (or 326562 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5094008400 is about 71372.3223665869. The cubic root of 5094008400 is about 1720.6262817574.

The spelling of 5094008400 in words is "five billion, ninety-four million, eight thousand, four hundred".