1390364448 has 192 divisors, whose sum is σ = 4320812160. Its totient is φ = 386662400.

The previous prime is 1390364447. The next prime is 1390364449. The reversal of 1390364448 is 8444630931.

It is an interprime number because it is at equal distance from previous prime (1390364447) and next prime (1390364449).

It is a super-2 number, since 2×1390364448² = 3866226596524689408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1390364447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735088 + ... + 736976.

It is an arithmetic number, because the mean of its divisors is an integer number (22504230).

Almost surely, 2^1390364448 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 1390364448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160406080).

1390364448 is an abundant number, since it is smaller than the sum of its proper divisors (2930447712).

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

1390364448 is a wasteful number, since it uses less digits than its factorization.

1390364448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 1390364448 is about 37287.5910726343. The cubic root of 1390364448 is about 1116.1165587845.

The spelling of 1390364448 in words is "one billion, three hundred ninety million, three hundred sixty-four thousand, four hundred forty-eight".