467765760 has 480 divisors, whose sum is σ = 1914466752. Its totient is φ = 96337920.

The previous prime is 467765741. The next prime is 467765791. The reversal of 467765760 is 67567764.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139464 + ... + 4139576.

Almost surely, 2^467765760 is an apocalyptic number.

467765760 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 467765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957233376).

467765760 is an abundant number, since it is smaller than the sum of its proper divisors (1446700992).

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

467765760 is a wasteful number, since it uses less digits than its factorization.

467765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 467765760 is about 21627.8931012709. The cubic root of 467765760 is about 776.2640543974.

The spelling of 467765760 in words is "four hundred sixty-seven million, seven hundred sixty-five thousand, seven hundred sixty".