434157408 has 168 divisors, whose sum is σ = 1318787568. Its totient is φ = 140527872.

The previous prime is 434157401. The next prime is 434157419. The reversal of 434157408 is 804751434.

434157408 is a `hidden beast` number, since 43 + 41 + 574 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434157401) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 862885 + ... + 863387.

It is an arithmetic number, because the mean of its divisors is an integer number (7849926).

Almost surely, 2^434157408 is an apocalyptic number.

434157408 is a gapful number since it is divisible by the number (48) 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 434157408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659393784).

434157408 is an abundant number, since it is smaller than the sum of its proper divisors (884630160).

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

434157408 is an equidigital number, since it uses as much as digits as its factorization.

434157408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 434157408 is about 20836.4442264029. Note that the first 3 decimals coincide. The cubic root of 434157408 is about 757.2089500425.

The spelling of 434157408 in words is "four hundred thirty-four million, one hundred fifty-seven thousand, four hundred eight".