5415460400 has 360 divisors, whose sum is σ = 16233273504. Its totient is φ = 1726771200.

The previous prime is 5415460399. The next prime is 5415460409. The reversal of 5415460400 is 40645145.

It is a super-2 number, since 2×5415460400² = 58654422687936320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5415460409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18482654 + ... + 18482946.

Almost surely, 2^5415460400 is an apocalyptic number.

5415460400 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 5415460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116636752).

5415460400 is an abundant number, since it is smaller than the sum of its proper divisors (10817813104).

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

5415460400 is a wasteful number, since it uses less digits than its factorization.

5415460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5415460400 is about 73589.8117948402. The cubic root of 5415460400 is about 1756.0833618062.

The spelling of 5415460400 in words is "five billion, four hundred fifteen million, four hundred sixty thousand, four hundred".