496218240 has 384 divisors, whose sum is σ = 2026552320. Its totient is φ = 109486080.

The previous prime is 496218223. The next prime is 496218299. The reversal of 496218240 is 42812694.

496218240 is a `hidden beast` number, since 4 + 9 + 621 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 496218195 and 496218204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249722 + ... + 1250118.

It is an arithmetic number, because the mean of its divisors is an integer number (5277480).

Almost surely, 2^496218240 is an apocalyptic number.

496218240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013276160).

496218240 is an abundant number, since it is smaller than the sum of its proper divisors (1530334080).

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

496218240 is a wasteful number, since it uses less digits than its factorization.

496218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 496218240 is about 22275.9565451183. The cubic root of 496218240 is about 791.6944030664.

The spelling of 496218240 in words is "four hundred ninety-six million, two hundred eighteen thousand, two hundred forty".