468077760 has 84 divisors (see below), whose sum is σ = 1610002368. Its totient is φ = 124819968.

The previous prime is 468077741. The next prime is 468077767. The reversal of 468077760 is 67770864.

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

It is not an unprimeable number, because it can be changed into a prime (468077767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78384 + ... + 84143.

Almost surely, 2^468077760 is an apocalyptic number.

468077760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468077760 is an abundant number, since it is smaller than the sum of its proper divisors (1141924608).

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

468077760 is a wasteful number, since it uses less digits than its factorization.

468077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162550 (or 162537 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 468077760 is about 21635.1048067718. The cubic root of 468077760 is about 776.4366055456.

The spelling of 468077760 in words is "four hundred sixty-eight million, seventy-seven thousand, seven hundred sixty".