434948400 has 480 divisors, whose sum is σ = 1727032320. Its totient is φ = 103403520.

The previous prime is 434948363. The next prime is 434948407. The reversal of 434948400 is 4849434.

It is a super-3 number, since 3×434948400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (434948407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4222749 + ... + 4222851.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^434948400 is an apocalyptic number.

434948400 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 434948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

434948400 is an abundant number, since it is smaller than the sum of its proper divisors (1292083920).

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

434948400 is a wasteful number, since it uses less digits than its factorization.

434948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

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

The square root of 434948400 is about 20855.4165626103. The cubic root of 434948400 is about 757.6685244105.

The spelling of 434948400 in words is "four hundred thirty-four million, nine hundred forty-eight thousand, four hundred".