467070240 has 576 divisors, whose sum is σ = 1975567104. Its totient is φ = 90243072.

The previous prime is 467070221. The next prime is 467070281. The reversal of 467070240 is 42070764.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 467070198 and 467070207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12623502 + ... + 12623538.

It is an arithmetic number, because the mean of its divisors is an integer number (3429804).

Almost surely, 2^467070240 is an apocalyptic number.

467070240 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 467070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987783552).

467070240 is an abundant number, since it is smaller than the sum of its proper divisors (1508496864).

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

467070240 is a wasteful number, since it uses less digits than its factorization.

467070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 467070240 is about 21611.8078836547. The cubic root of 467070240 is about 775.8791217108.

The spelling of 467070240 in words is "four hundred sixty-seven million, seventy thousand, two hundred forty".