402344448 has 80 divisors (see below), whose sum is σ = 1169362656. Its totient is φ = 121917440.

The previous prime is 402344441. The next prime is 402344461. The reversal of 402344448 is 844443204.

It is a super-3 number, since 3×402344448³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (402344441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4990 + ... + 28802.

Almost surely, 2^402344448 is an apocalyptic number.

402344448 is a gapful number since it is divisible by the number (48) 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 402344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584681328).

402344448 is an abundant number, since it is smaller than the sum of its proper divisors (767018208).

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

402344448 is a wasteful number, since it uses less digits than its factorization.

402344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23845 (or 23829 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 402344448 is about 20058.5255689445. The cubic root of 402344448 is about 738.2429998625.

The spelling of 402344448 in words is "four hundred two million, three hundred forty-four thousand, four hundred forty-eight".