5415306240 has 176 divisors, whose sum is σ = 17745033600. Its totient is φ = 1408696320.

The previous prime is 5415306227. The next prime is 5415306263. The reversal of 5415306240 is 426035145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5415306198 and 5415306207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625461 + ... + 634059.

Almost surely, 2^5415306240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5415306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872516800).

5415306240 is an abundant number, since it is smaller than the sum of its proper divisors (12329727360).

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

5415306240 is a wasteful number, since it uses less digits than its factorization.

5415306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5415306240 is about 73588.7643597853. The cubic root of 5415306240 is about 1756.0666983796.

It can be divided in two parts, 5415 and 306240, that added together give a triangular number (311655 = T₇₈₉).

The spelling of 5415306240 in words is "five billion, four hundred fifteen million, three hundred six thousand, two hundred forty".