496148016 has 160 divisors (see below), whose sum is σ = 1595120128. Its totient is φ = 129392640.

The previous prime is 496147937. The next prime is 496148063. The reversal of 496148016 is 610841694.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423111 + ... + 424281.

Almost surely, 2^496148016 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 496148016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797560064).

496148016 is an abundant number, since it is smaller than the sum of its proper divisors (1098972112).

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

496148016 is a wasteful number, since it uses less digits than its factorization.

496148016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 496148016 is about 22274.3802607390. The cubic root of 496148016 is about 791.6570548688.

It can be divided in two parts, 49614 and 8016, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 496148016 in words is "four hundred ninety-six million, one hundred forty-eight thousand, sixteen".