1415796480 has 432 divisors, whose sum is σ = 5687258304. Its totient is φ = 318504960.

The previous prime is 1415796479. The next prime is 1415796521. The reversal of 1415796480 is 846975141.

1415796480 is a `hidden beast` number, since 14 + 1 + 579 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7821990 + ... + 7822170.

Almost surely, 2^1415796480 is an apocalyptic number.

1415796480 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 1415796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843629152).

1415796480 is an abundant number, since it is smaller than the sum of its proper divisors (4271461824).

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

1415796480 is a wasteful number, since it uses less digits than its factorization.

1415796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1415796480 is about 37627.0711057877. The cubic root of 1415796480 is about 1122.8806796757.

The spelling of 1415796480 in words is "one billion, four hundred fifteen million, seven hundred ninety-six thousand, four hundred eighty".