1355579904 has 320 divisors, whose sum is σ = 4399718400. Its totient is φ = 370298880.

The previous prime is 1355579899. The next prime is 1355579921. The reversal of 1355579904 is 4099755531.

It is a super-2 number, since 2×1355579904² = 3675193752257298432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16332247 + ... + 16332329.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^1355579904 is an apocalyptic number.

1355579904 is a gapful number since it is divisible by the number (14) 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 1355579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1355579904 is an abundant number, since it is smaller than the sum of its proper divisors (3044138496).

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

1355579904 is an frugal number, since it uses more digits than its factorization.

1355579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The square root of 1355579904 is about 36818.2007164935. The cubic root of 1355579904 is about 1106.7300633026.

The spelling of 1355579904 in words is "one billion, three hundred fifty-five million, five hundred seventy-nine thousand, nine hundred four".