507446940 has 576 divisors, whose sum is σ = 2084963328. Its totient is φ = 90316800.

The previous prime is 507446909. The next prime is 507447001. The reversal of 507446940 is 49644705.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7147105 + ... + 7147175.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2^507446940 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 507446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042481664).

507446940 is an abundant number, since it is smaller than the sum of its proper divisors (1577516388).

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

507446940 is a wasteful number, since it uses less digits than its factorization.

507446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 507446940 is about 22526.5829632459. The cubic root of 507446940 is about 797.6215503125.

The spelling of 507446940 in words is "five hundred seven million, four hundred forty-six thousand, nine hundred forty".