312049920 has 576 divisors, whose sum is σ = 1318625280. Its totient is φ = 61046784.

The previous prime is 312049877. The next prime is 312049949. The reversal of 312049920 is 29940213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6639337 + ... + 6639383.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2^312049920 is an apocalyptic number.

312049920 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 312049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

312049920 is an abundant number, since it is smaller than the sum of its proper divisors (1006575360).

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

312049920 is a wasteful number, since it uses less digits than its factorization.

312049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 312049920 is about 17664.9347578756. The cubic root of 312049920 is about 678.2784595958.

It can be divided in two parts, 3120 and 49920, that multiplied together give a square (155750400 = 12480²).

The spelling of 312049920 in words is "three hundred twelve million, forty-nine thousand, nine hundred twenty".