464626434240 has 336 divisors, whose sum is σ = 1695164170752. Its totient is φ = 116402946048.

The previous prime is 464626434157. The next prime is 464626434263. The reversal of 464626434240 is 42434626464.

464626434240 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 264 + 342 + 40 = 666.

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

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, 28241697 + ... + 28258143.

Almost surely, 2^464626434240 is an apocalyptic number.

464626434240 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 464626434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847582085376).

464626434240 is an abundant number, since it is smaller than the sum of its proper divisors (1230537736512).

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

464626434240 is a wasteful number, since it uses less digits than its factorization.

464626434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17064 (or 17051 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 464626434240 in words is "four hundred sixty-four billion, six hundred twenty-six million, four hundred thirty-four thousand, two hundred forty".