400289448 has 64 divisors (see below), whose sum is σ = 1080555840. Its totient is φ = 122840064.

The previous prime is 400289431. The next prime is 400289467. The reversal of 400289448 is 844982004.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133615 + ... + 136577.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 2^400289448 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 400289448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

400289448 is an abundant number, since it is smaller than the sum of its proper divisors (680266392).

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

400289448 is a wasteful number, since it uses less digits than its factorization.

400289448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 400289448 is about 20007.2348914087. The cubic root of 400289448 is about 736.9839794690.

The spelling of 400289448 in words is "four hundred million, two hundred eighty-nine thousand, four hundred forty-eight".