1014393408 has 224 divisors, whose sum is σ = 3211665408. Its totient is φ = 276480000.

The previous prime is 1014393371. The next prime is 1014393427. The reversal of 1014393408 is 8043934101.

It is a tau number, because it is divible by the number of its divisors (224).

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, 4041283 + ... + 4041533.

It is an arithmetic number, because the mean of its divisors is an integer number (14337792).

Almost surely, 2^1014393408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605832704).

1014393408 is an abundant number, since it is smaller than the sum of its proper divisors (2197272000).

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

1014393408 is a wasteful number, since it uses less digits than its factorization.

1014393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1014393408 is about 31849.5432934289. The cubic root of 1014393408 is about 1004.7749660754.

The spelling of 1014393408 in words is "one billion, fourteen million, three hundred ninety-three thousand, four hundred eight".