434101464 has 128 divisors (see below), whose sum is σ = 1281816000. Its totient is φ = 135862272.

The previous prime is 434101457. The next prime is 434101523. The reversal of 434101464 is 464101434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230832 + ... + 232704.

Almost surely, 2^434101464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434101464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640908000).

434101464 is an abundant number, since it is smaller than the sum of its proper divisors (847714536).

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

434101464 is a wasteful number, since it uses less digits than its factorization.

434101464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 434101464 is about 20835.1017276134. The cubic root of 434101464 is about 757.1764248828.

Adding to 434101464 its reverse (464101434), we get a palindrome (898202898).

The spelling of 434101464 in words is "four hundred thirty-four million, one hundred one thousand, four hundred sixty-four".