507677040 has 240 divisors, whose sum is σ = 1863755712. Its totient is φ = 123088896.

The previous prime is 507677011. The next prime is 507677041. The reversal of 507677040 is 40776705.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 507676986 and 507677004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507677041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682909 + ... + 683651.

Almost surely, 2^507677040 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 507677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931877856).

507677040 is an abundant number, since it is smaller than the sum of its proper divisors (1356078672).

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

507677040 is a wasteful number, since it uses less digits than its factorization.

507677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 507677040 is about 22531.6896836433. The cubic root of 507677040 is about 797.7420916410.

The spelling of 507677040 in words is "five hundred seven million, six hundred seventy-seven thousand, forty".