434973240 has 320 divisors, whose sum is σ = 1646568000. Its totient is φ = 102187008.

The previous prime is 434973191. The next prime is 434973241. The reversal of 434973240 is 42379434.

434973240 is a `hidden beast` number, since 4 + 349 + 73 + 240 = 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 = 434973195 and 434973204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434973241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968536 + ... + 968984.

It is an arithmetic number, because the mean of its divisors is an integer number (5145525).

Almost surely, 2^434973240 is an apocalyptic number.

434973240 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 434973240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823284000).

434973240 is an abundant number, since it is smaller than the sum of its proper divisors (1211594760).

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

434973240 is a wasteful number, since it uses less digits than its factorization.

434973240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 434973240 is about 20856.0120828504. The cubic root of 434973240 is about 757.6829476754.

The spelling of 434973240 in words is "four hundred thirty-four million, nine hundred seventy-three thousand, two hundred forty".