429790752480 has 384 divisors, whose sum is σ = 1480506854400. Its totient is φ = 104432025600.

The previous prime is 429790752437. The next prime is 429790752481. The reversal of 429790752480 is 84257097924.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 429790752480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429790752481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26540226 + ... + 26556414.

It is an arithmetic number, because the mean of its divisors is an integer number (3855486600).

Almost surely, 2^429790752480 is an apocalyptic number.

429790752480 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 429790752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740253427200).

429790752480 is an abundant number, since it is smaller than the sum of its proper divisors (1050716101920).

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

429790752480 is a wasteful number, since it uses less digits than its factorization.

429790752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16338 (or 16330 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 429790752480 in words is "four hundred twenty-nine billion, seven hundred ninety million, seven hundred fifty-two thousand, four hundred eighty".