5004465400 has 96 divisors (see below), whose sum is σ = 12722935680. Its totient is φ = 1815536000.

The previous prime is 5004465391. The next prime is 5004465407. The reversal of 5004465400 is 45644005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004465407) 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, 1024965 + ... + 1029835.

It is an arithmetic number, because the mean of its divisors is an integer number (132530580).

Almost surely, 2^5004465400 is an apocalyptic number.

5004465400 is a gapful number since it is divisible by the number (50) 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 5004465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361467840).

5004465400 is an abundant number, since it is smaller than the sum of its proper divisors (7718470280).

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

5004465400 is a wasteful number, since it uses less digits than its factorization.

5004465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 5004465400 is about 70742.2462182252. The cubic root of 5004465400 is about 1710.4848436510.

The spelling of 5004465400 in words is "five billion, four million, four hundred sixty-five thousand, four hundred".