467072640 has 192 divisors, whose sum is σ = 1627797600. Its totient is φ = 123402240.

The previous prime is 467072621. The next prime is 467072651. The reversal of 467072640 is 46270764.

467072640 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 467072595 and 467072604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754251 + ... + 754869.

Almost surely, 2^467072640 is an apocalyptic number.

467072640 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 467072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813898800).

467072640 is an abundant number, since it is smaller than the sum of its proper divisors (1160724960).

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

467072640 is a wasteful number, since it uses less digits than its factorization.

467072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 467072640 is about 21611.8634087855. The cubic root of 467072640 is about 775.8804506378.

The spelling of 467072640 in words is "four hundred sixty-seven million, seventy-two thousand, six hundred forty".