5465860400 has 720 divisors, whose sum is σ = 19067654592. Its totient is φ = 1459814400.

The previous prime is 5465860391. The next prime is 5465860457. The reversal of 5465860400 is 40685645.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74874764 + ... + 74874836.

Almost surely, 2^5465860400 is an apocalyptic number.

5465860400 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 5465860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533827296).

5465860400 is an abundant number, since it is smaller than the sum of its proper divisors (13601794192).

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

5465860400 is a wasteful number, since it uses less digits than its factorization.

5465860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 5465860400 is about 73931.4574453933. The cubic root of 5465860400 is about 1761.5143216887.

The spelling of 5465860400 in words is "five billion, four hundred sixty-five million, eight hundred sixty thousand, four hundred".