838276240 has 40 divisors (see below), whose sum is σ = 1950232320. Its totient is φ = 335097216.

The previous prime is 838276151. The next prime is 838276253. The reversal of 838276240 is 42672838.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 838276193 and 838276202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201057 + ... + 205183.

It is an arithmetic number, because the mean of its divisors is an integer number (48755808).

Almost surely, 2^838276240 is an apocalyptic number.

838276240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838276240 is an abundant number, since it is smaller than the sum of its proper divisors (1111956080).

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

838276240 is a wasteful number, since it uses less digits than its factorization.

838276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 838276240 is about 28953.0005353504. Note that the first 3 decimals coincide. The cubic root of 838276240 is about 942.8929435879.

The spelling of 838276240 in words is "eight hundred thirty-eight million, two hundred seventy-six thousand, two hundred forty".