510413948 has 24 divisors (see below), whose sum is σ = 1025713920. Its totient is φ = 219795120.

The previous prime is 510413947. The next prime is 510413963. The reversal of 510413948 is 849314015.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510413947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304436 + ... + 306107.

It is an arithmetic number, because the mean of its divisors is an integer number (42738080).

Almost surely, 2^510413948 is an apocalyptic number.

It is an amenable number.

510413948 is an abundant number, since it is smaller than the sum of its proper divisors (515299972).

510413948 is a wasteful number, since it uses less digits than its factorization.

510413948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610577 (or 610575 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 510413948 is about 22592.3426850781. The cubic root of 510413948 is about 799.1730767920.

The spelling of 510413948 in words is "five hundred ten million, four hundred thirteen thousand, nine hundred forty-eight".