1479245040 has 480 divisors, whose sum is σ = 6200603136. Its totient is φ = 307722240.

The previous prime is 1479244997. The next prime is 1479245087. The reversal of 1479245040 is 405429741.

It is a happy number.

1479245040 is a `hidden beast` number, since 147 + 9 + 2 + 4 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1479244986 and 1479245004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7010535 + ... + 7010745.

Almost surely, 2^1479245040 is an apocalyptic number.

1479245040 is a gapful number since it is divisible by the number (10) 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 1479245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100301568).

1479245040 is an abundant number, since it is smaller than the sum of its proper divisors (4721358096).

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

1479245040 is a wasteful number, since it uses less digits than its factorization.

1479245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1479245040 is about 38460.9547463398. The cubic root of 1479245040 is about 1139.4100363830.

The spelling of 1479245040 in words is "one billion, four hundred seventy-nine million, two hundred forty-five thousand, forty".