434254640400 has 675 divisors, whose sum is σ = 1816427942901. Its totient is φ = 99068417280.

The previous prime is 434254640371. The next prime is 434254640401. The reversal of 434254640400 is 4046452434.

The square root of 434254640400 is 658980.

It is a perfect power (a square), and thus also a powerful number.

434254640400 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 5 + 4 + 640 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156331670544 + 277922969856 = 395388^2 + 527184^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (434254640401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 830314539 + ... + 830315061.

Almost surely, 2^434254640400 is an apocalyptic number.

434254640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

434254640400 is the 658980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434254640400

434254640400 is an abundant number, since it is smaller than the sum of its proper divisors (1382173302501).

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

434254640400 is an equidigital number, since it uses as much as digits as its factorization.

434254640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Multiplying 434254640400 by its sum of digits (36), we get a square (15633167054400 = 3953880²).

434254640400 divided by its sum of digits (36) gives a square (12062628900 = 109830²).

The spelling of 434254640400 in words is "four hundred thirty-four billion, two hundred fifty-four million, six hundred forty thousand, four hundred".