1090257408 has 280 divisors, whose sum is σ = 3434923008. Its totient is φ = 344881152.

The previous prime is 1090257397. The next prime is 1090257437. The reversal of 1090257408 is 8047520901.

It is a super-2 number, since 2×1090257408² = 2377322431397756928, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584641 + ... + 8584767.

Almost surely, 2^1090257408 is an apocalyptic number.

1090257408 is a gapful number since it is divisible by the number (18) 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 1090257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717461504).

1090257408 is an abundant number, since it is smaller than the sum of its proper divisors (2344665600).

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

1090257408 is an frugal number, since it uses more digits than its factorization.

1090257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1090257408 is about 33019.0461400689. The cubic root of 1090257408 is about 1029.2234722760.

The spelling of 1090257408 in words is "one billion, ninety million, two hundred fifty-seven thousand, four hundred eight".