838296480 has 192 divisors, whose sum is σ = 3030773760. Its totient is φ = 190792704.

The previous prime is 838296467. The next prime is 838296491. The reversal of 838296480 is 84692838.

It is a happy number.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165561 + ... + 1166279.

It is an arithmetic number, because the mean of its divisors is an integer number (15785280).

Almost surely, 2^838296480 is an apocalyptic number.

838296480 is a gapful number since it is divisible by the number (80) 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 838296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515386880).

838296480 is an abundant number, since it is smaller than the sum of its proper divisors (2192477280).

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

838296480 is a wasteful number, since it uses less digits than its factorization.

838296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 838296480 is about 28953.3500652342. The cubic root of 838296480 is about 942.9005321761.

It can be divided in two parts, 83829 and 6480, that added together give a palindrome (90309).

The spelling of 838296480 in words is "eight hundred thirty-eight million, two hundred ninety-six thousand, four hundred eighty".