467641440 has 288 divisors, whose sum is σ = 1931791680. Its totient is φ = 100564992.

The previous prime is 467641439. The next prime is 467641459. The reversal of 467641440 is 44146764.

467641440 is a `hidden beast` number, since 4 + 6 + 7 + 641 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 467641395 and 467641404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169996 + ... + 172724.

It is an arithmetic number, because the mean of its divisors is an integer number (6707610).

Almost surely, 2^467641440 is an apocalyptic number.

467641440 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 467641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965895840).

467641440 is an abundant number, since it is smaller than the sum of its proper divisors (1464150240).

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

467641440 is a wasteful number, since it uses less digits than its factorization.

467641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 467641440 is about 21625.0188439224. The cubic root of 467641440 is about 776.1952780238.

The spelling of 467641440 in words is "four hundred sixty-seven million, six hundred forty-one thousand, four hundred forty".