312563430 has 48 divisors (see below), whose sum is σ = 813589920. Its totient is φ = 83255424.

The previous prime is 312563423. The next prime is 312563437. The reversal of 312563430 is 34365213.

It is a happy number.

312563430 is a `hidden beast` number, since 3 + 1 + 25 + 634 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312563423) and next prime (312563437).

It is a junction number, because it is equal to n+sod(n) for n = 312563394 and 312563403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312563437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117394 + ... + 120026.

It is an arithmetic number, because the mean of its divisors is an integer number (16949790).

Almost surely, 2^312563430 is an apocalyptic number.

312563430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312563430 is an abundant number, since it is smaller than the sum of its proper divisors (501026490).

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

312563430 is a wasteful number, since it uses less digits than its factorization.

312563430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 312563430 is about 17679.4635099598. The cubic root of 312563430 is about 678.6503145118.

The spelling of 312563430 in words is "three hundred twelve million, five hundred sixty-three thousand, four hundred thirty".