312829440 has 480 divisors, whose sum is σ = 1303416576. Its totient is φ = 62177280.

The previous prime is 312829423. The next prime is 312829453. The reversal of 312829440 is 44928213.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13601269 + ... + 13601291.

Almost surely, 2^312829440 is an apocalyptic number.

312829440 is a gapful number since it is divisible by the number (30) 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 312829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651708288).

312829440 is an abundant number, since it is smaller than the sum of its proper divisors (990587136).

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

312829440 is a wasteful number, since it uses less digits than its factorization.

312829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 312829440 is about 17686.9850455073. The cubic root of 312829440 is about 678.8427837983.

The spelling of 312829440 in words is "three hundred twelve million, eight hundred twenty-nine thousand, four hundred forty".