5415900 has 72 divisors (see below), whose sum is σ = 17915520. Its totient is φ = 1237440.

The previous prime is 5415881. The next prime is 5415901. The reversal of 5415900 is 95145.

5415900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415901) 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, 811 + ... + 3389.

Almost surely, 2^5415900 is an apocalyptic number.

5415900 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 5415900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957760).

5415900 is an abundant number, since it is smaller than the sum of its proper divisors (12499620).

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

5415900 is a wasteful number, since it uses less digits than its factorization.

5415900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5415900 is about 2327.2086283786. The cubic root of 5415900 is about 175.6130877210.

It can be divided in two parts, 541 and 5900, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 5415900 in words is "five million, four hundred fifteen thousand, nine hundred".