842380416 has 48 divisors (see below), whose sum is σ = 2424040710. Its totient is φ = 280793088.

The previous prime is 842380381. The next prime is 842380421. The reversal of 842380416 is 614083248.

842380416 is a `hidden beast` number, since 8 + 4 + 238 + 0 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 492840000 + 349540416 = 22200^2 + 18696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364465 + ... + 366768.

Almost surely, 2^842380416 is an apocalyptic number.

It is an amenable number.

842380416 is an abundant number, since it is smaller than the sum of its proper divisors (1581660294).

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

842380416 is a wasteful number, since it uses less digits than its factorization.

842380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731253 (or 731238 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 842380416 is about 29023.7905174359. The cubic root of 842380416 is about 944.4292312116.

The spelling of 842380416 in words is "eight hundred forty-two million, three hundred eighty thousand, four hundred sixteen".