507619420 has 180 divisors, whose sum is σ = 1401822072. Its totient is φ = 153115200.

The previous prime is 507619417. The next prime is 507619423. The reversal of 507619420 is 24916705.

It is an interprime number because it is at equal distance from previous prime (507619417) and next prime (507619423).

It is a super-2 number, since 2×507619420² = 515354951122272800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507619423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16374805 + ... + 16374835.

Almost surely, 2^507619420 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 507619420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700911036).

507619420 is an abundant number, since it is smaller than the sum of its proper divisors (894202652).

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

507619420 is a wasteful number, since it uses less digits than its factorization.

507619420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 507619420 is about 22530.4110037966. The cubic root of 507619420 is about 797.7119099607.

The spelling of 507619420 in words is "five hundred seven million, six hundred nineteen thousand, four hundred twenty".