434498400 has 432 divisors, whose sum is σ = 1806071904. Its totient is φ = 96215040.

The previous prime is 434498381. The next prime is 434498413. The reversal of 434498400 is 4894434.

It is a super-4 number, since 4×434498400⁴ (a number of 36 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1864684 + ... + 1864916.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2^434498400 is an apocalyptic number.

434498400 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 434498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903035952).

434498400 is an abundant number, since it is smaller than the sum of its proper divisors (1371573504).

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

434498400 is a wasteful number, since it uses less digits than its factorization.

434498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434498400 is about 20844.6252065131. The cubic root of 434498400 is about 757.4071382424.

The spelling of 434498400 in words is "four hundred thirty-four million, four hundred ninety-eight thousand, four hundred".