268477650 has 144 divisors (see below), whose sum is σ = 853070400. Its totient is φ = 59230080.

The previous prime is 268477631. The next prime is 268477669. The reversal of 268477650 is 56774862.

It is an interprime number because it is at equal distance from previous prime (268477631) and next prime (268477669).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 268477596 and 268477605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89881 + ... + 92819.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^268477650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268477650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

268477650 is an abundant number, since it is smaller than the sum of its proper divisors (584592750).

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

268477650 is a wasteful number, since it uses less digits than its factorization.

268477650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 268477650 is about 16385.2876080953. The cubic root of 268477650 is about 645.1133746982.

The spelling of 268477650 in words is "two hundred sixty-eight million, four hundred seventy-seven thousand, six hundred fifty".