1604292480 has 320 divisors, whose sum is σ = 6549158880. Its totient is φ = 366612480.

The previous prime is 1604292479. The next prime is 1604292511. The reversal of 1604292480 is 842924061.

1604292480 is a `hidden beast` number, since 1 + 604 + 2 + 9 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1604292480² = 5147508722769100800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360670 + ... + 365090.

Almost surely, 2^1604292480 is an apocalyptic number.

1604292480 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 1604292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274579440).

1604292480 is an abundant number, since it is smaller than the sum of its proper divisors (4944866400).

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

1604292480 is an equidigital number, since it uses as much as digits as its factorization.

1604292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1604292480 is about 40053.6200611131. The cubic root of 1604292480 is about 1170.6521019653.

The spelling of 1604292480 in words is "one billion, six hundred four million, two hundred ninety-two thousand, four hundred eighty".