434672485920 has 384 divisors, whose sum is σ = 1621148256000. Its totient is φ = 108396527616.

The previous prime is 434672485889. The next prime is 434672485957. The reversal of 434672485920 is 29584276434.

It is a happy number.

434672485920 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 7 + 2 + 48 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11511231 + ... + 11548929.

It is an arithmetic number, because the mean of its divisors is an integer number (4221740250).

Almost surely, 2^434672485920 is an apocalyptic number.

434672485920 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 434672485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810574128000).

434672485920 is an abundant number, since it is smaller than the sum of its proper divisors (1186475770080).

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

434672485920 is a wasteful number, since it uses less digits than its factorization.

434672485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37897 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 434672485920 in words is "four hundred thirty-four billion, six hundred seventy-two million, four hundred eighty-five thousand, nine hundred twenty".