1354393872 has 200 divisors, whose sum is σ = 4444784960. Its totient is φ = 394709760.

The previous prime is 1354393861. The next prime is 1354393883. The reversal of 1354393872 is 2783934531.

1354393872 is a `hidden beast` number, since 1 + 3 + 543 + 9 + 38 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1354393861) and next prime (1354393883).

It is a super-2 number, since 2×1354393872² = 3668765521022304768, which contains 22 as substring.

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, 317997 + ... + 322227.

Almost surely, 2^1354393872 is an apocalyptic number.

1354393872 is a gapful number since it is divisible by the number (12) 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 1354393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222392480).

1354393872 is an abundant number, since it is smaller than the sum of its proper divisors (3090391088).

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

1354393872 is a wasteful number, since it uses less digits than its factorization.

1354393872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4268 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1354393872 is about 36802.0905927911. The cubic root of 1354393872 is about 1106.4072001828.

The spelling of 1354393872 in words is "one billion, three hundred fifty-four million, three hundred ninety-three thousand, eight hundred seventy-two".