642296448 has 96 divisors (see below), whose sum is σ = 1957056660. Its totient is φ = 201498624.

The previous prime is 642296441. The next prime is 642296467. The reversal of 642296448 is 844692246.

It can be written as a sum of positive squares in 2 ways, for example, as 490711104 + 151585344 = 22152^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×642296448² = 825089454226833408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (642296441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3186 + ... + 35982.

Almost surely, 2^642296448 is an apocalyptic number.

642296448 is a gapful number since it is divisible by the number (68) 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 642296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978528330).

642296448 is an abundant number, since it is smaller than the sum of its proper divisors (1314760212).

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

642296448 is a wasteful number, since it uses less digits than its factorization.

642296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32834 (or 32819 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 642296448 is about 25343.5681781394. The cubic root of 642296448 is about 862.8033846392.

The spelling of 642296448 in words is "six hundred forty-two million, two hundred ninety-six thousand, four hundred forty-eight".