429949450224 has 300 divisors, whose sum is σ = 1494268045248. Its totient is φ = 118879488000.

The previous prime is 429949450201. The next prime is 429949450283. The reversal of 429949450224 is 422054949924.

429949450224 is a `hidden beast` number, since 4 + 2 + 99 + 49 + 4 + 502 + 2 + 4 = 666.

It is a super-4 number, since 4×429949450224⁴ (a number of 48 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1859424 + ... + 2077824.

Almost surely, 2^429949450224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429949450224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747134022624).

429949450224 is an abundant number, since it is smaller than the sum of its proper divisors (1064318595024).

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

429949450224 is a wasteful number, since it uses less digits than its factorization.

429949450224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218466 (or 218444 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 429949450224 in words is "four hundred twenty-nine billion, nine hundred forty-nine million, four hundred fifty thousand, two hundred twenty-four".