430874640 has 600 divisors, whose sum is σ = 1847292480. Its totient is φ = 92606976.

The previous prime is 430874627. The next prime is 430874641. The reversal of 430874640 is 46478034.

430874640 is a `hidden beast` number, since 4 + 3 + 0 + 8 + 7 + 4 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430874595 and 430874604.

It is not an unprimeable number, because it can be changed into a prime (430874641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7302931 + ... + 7302989.

Almost surely, 2^430874640 is an apocalyptic number.

430874640 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 430874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923646240).

430874640 is an abundant number, since it is smaller than the sum of its proper divisors (1416417840).

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

430874640 is a wasteful number, since it uses less digits than its factorization.

430874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 430874640 is about 20757.5200830928. The cubic root of 430874640 is about 755.2956402532.

The spelling of 430874640 in words is "four hundred thirty million, eight hundred seventy-four thousand, six hundred forty".