746390268 has 96 divisors (see below), whose sum is σ = 2128465920. Its totient is φ = 224752320.

The previous prime is 746390263. The next prime is 746390279. The reversal of 746390268 is 862093647.

746390268 is a `hidden beast` number, since 7 + 4 + 639 + 0 + 2 + 6 + 8 = 666.

It is a super-2 number, since 2×746390268² = 1114196864330223648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746390261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60333 + ... + 71643.

It is an arithmetic number, because the mean of its divisors is an integer number (22171520).

Almost surely, 2^746390268 is an apocalyptic number.

746390268 is a gapful number since it is divisible by the number (78) 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 746390268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064232960).

746390268 is an abundant number, since it is smaller than the sum of its proper divisors (1382075652).

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

746390268 is a wasteful number, since it uses less digits than its factorization.

746390268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 746390268 is about 27320.1439966923. The cubic root of 746390268 is about 907.1003253359.

The spelling of 746390268 in words is "seven hundred forty-six million, three hundred ninety thousand, two hundred sixty-eight".