1054968408 has 128 divisors (see below), whose sum is σ = 3177316800. Its totient is φ = 322403328.

The previous prime is 1054968367. The next prime is 1054968419. The reversal of 1054968408 is 8048694501.

1054968408 is a `hidden beast` number, since 1 + 0 + 549 + 68 + 40 + 8 = 666.

1054968408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054968408² = 2225916683756108928, which contains 22 as substring.

It is a congruent number.

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, 439660 + ... + 442052.

Almost surely, 2^1054968408 is an apocalyptic number.

1054968408 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 1054968408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588658400).

1054968408 is an abundant number, since it is smaller than the sum of its proper divisors (2122348392).

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

1054968408 is a wasteful number, since it uses less digits than its factorization.

1054968408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2568 counting only the distinct ones).

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

The square root of 1054968408 is about 32480.2772155658. The cubic root of 1054968408 is about 1017.9969687639.

The spelling of 1054968408 in words is "one billion, fifty-four million, nine hundred sixty-eight thousand, four hundred eight".