1590774416 has 180 divisors, whose sum is σ = 4046889420. Its totient is φ = 603187200.

The previous prime is 1590774407. The next prime is 1590774421. The reversal of 1590774416 is 6144770951.

It can be written as a sum of positive squares in 2 ways, for example, as 734626816 + 856147600 = 27104^2 + 29260^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3889220 + ... + 3889628.

It is an arithmetic number, because the mean of its divisors is an integer number (22482719).

Almost surely, 2^1590774416 is an apocalyptic number.

1590774416 is a gapful number since it is divisible by the number (16) 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 1590774416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023444710).

1590774416 is an abundant number, since it is smaller than the sum of its proper divisors (2456115004).

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

1590774416 is a wasteful number, since it uses less digits than its factorization.

1590774416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 1590774416 is about 39884.5134858130. The cubic root of 1590774416 is about 1167.3547798411.

The spelling of 1590774416 in words is "one billion, five hundred ninety million, seven hundred seventy-four thousand, four hundred sixteen".