310152420 has 144 divisors (see below), whose sum is σ = 1009532160. Its totient is φ = 76796928.

The previous prime is 310152383. The next prime is 310152431. The reversal of 310152420 is 24251013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310152393 and 310152402.

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, 241099 + ... + 242381.

It is an arithmetic number, because the mean of its divisors is an integer number (7010640).

Almost surely, 2^310152420 is an apocalyptic number.

310152420 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 310152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504766080).

310152420 is an abundant number, since it is smaller than the sum of its proper divisors (699379740).

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

310152420 is a wasteful number, since it uses less digits than its factorization.

310152420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 310152420 is about 17611.1447668799. The cubic root of 310152420 is about 676.9008478145.

The spelling of 310152420 in words is "three hundred ten million, one hundred fifty-two thousand, four hundred twenty".