1496058480 has 480 divisors, whose sum is σ = 6406732800. Its totient is φ = 304570368.

The previous prime is 1496058479. The next prime is 1496058511. The reversal of 1496058480 is 848506941.

1496058480 is a `hidden beast` number, since 1 + 4 + 9 + 60 + 584 + 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 95 ways as a sum of consecutive naturals, for example, 1627461 + ... + 1628379.

It is an arithmetic number, because the mean of its divisors is an integer number (13347360).

Almost surely, 2^1496058480 is an apocalyptic number.

1496058480 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 1496058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203366400).

1496058480 is an abundant number, since it is smaller than the sum of its proper divisors (4910674320).

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

1496058480 is a wasteful number, since it uses less digits than its factorization.

1496058480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1496058480 is about 38678.9151864423. The cubic root of 1496058480 is about 1143.7107154831.

The spelling of 1496058480 in words is "one billion, four hundred ninety-six million, fifty-eight thousand, four hundred eighty".