440434368 has 448 divisors, whose sum is σ = 1580083200. Its totient is φ = 118702080.

The previous prime is 440434367. The next prime is 440434369. The reversal of 440434368 is 863434044.

It is an interprime number because it is at equal distance from previous prime (440434367) and next prime (440434369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440434361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9370921 + ... + 9370967.

Almost surely, 2^440434368 is an apocalyptic number.

440434368 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 440434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

440434368 is an abundant number, since it is smaller than the sum of its proper divisors (1139648832).

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

440434368 is a wasteful number, since it uses less digits than its factorization.

440434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 440434368 is about 20986.5282502848. The cubic root of 440434368 is about 760.8406948149.

The spelling of 440434368 in words is "four hundred forty million, four hundred thirty-four thousand, three hundred sixty-eight".