434470230240 has 48 divisors (see below), whose sum is σ = 1368581226768. Its totient is φ = 115858727936.

The previous prime is 434470230223. The next prime is 434470230281. The reversal of 434470230240 is 42032074434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×434470230240² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452572677 + ... + 452573636.

It is an arithmetic number, because the mean of its divisors is an integer number (28512108891).

Almost surely, 2^434470230240 is an apocalyptic number.

434470230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434470230240 is an abundant number, since it is smaller than the sum of its proper divisors (934110996528).

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

434470230240 is a wasteful number, since it uses less digits than its factorization.

434470230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905146331 (or 905146323 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The spelling of 434470230240 in words is "four hundred thirty-four billion, four hundred seventy million, two hundred thirty thousand, two hundred forty".