507612420 has 288 divisors, whose sum is σ = 1872718848. Its totient is φ = 113000832.

The previous prime is 507612397. The next prime is 507612421. The reversal of 507612420 is 24216705.

507612420 is a `hidden beast` number, since 5 + 0 + 7 + 612 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (507612421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1462687 + ... + 1463033.

It is an arithmetic number, because the mean of its divisors is an integer number (6502496).

Almost surely, 2^507612420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936359424).

507612420 is an abundant number, since it is smaller than the sum of its proper divisors (1365106428).

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

507612420 is a wasteful number, since it uses less digits than its factorization.

507612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 507612420 is about 22530.2556576706. The cubic root of 507612420 is about 797.7082431657.

The spelling of 507612420 in words is "five hundred seven million, six hundred twelve thousand, four hundred twenty".