5409374400 has 252 divisors, whose sum is σ = 19939708152. Its totient is φ = 1442396160.

The previous prime is 5409374389. The next prime is 5409374413. The reversal of 5409374400 is 44739045.

5409374400 is a `hidden beast` number, since 540 + 9 + 3 + 74 + 40 + 0 = 666.

It is a super-2 number, since 2×5409374400² = 58522662798750720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381844 + ... + 395756.

It is an arithmetic number, because the mean of its divisors is an integer number (79125826).

Almost surely, 2^5409374400 is an apocalyptic number.

5409374400 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 5409374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969854076).

5409374400 is an abundant number, since it is smaller than the sum of its proper divisors (14530333752).

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

5409374400 is a wasteful number, since it uses less digits than its factorization.

5409374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5409374400 is about 73548.4493378344. The cubic root of 5409374400 is about 1755.4252749790.

The spelling of 5409374400 in words is "five billion, four hundred nine million, three hundred seventy-four thousand, four hundred".