464414104 has 128 divisors (see below), whose sum is σ = 1129075200. Its totient is φ = 173859840.

The previous prime is 464414099. The next prime is 464414161. The reversal of 464414104 is 401414464.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357334 + ... + 2357530.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^464414104 is an apocalyptic number.

464414104 is a gapful number since it is divisible by the number (44) 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 464414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564537600).

464414104 is an abundant number, since it is smaller than the sum of its proper divisors (664661096).

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

464414104 is a wasteful number, since it uses less digits than its factorization.

464414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 464414104 is about 21550.2692326569. The cubic root of 464414104 is about 774.4055679070.

Adding to 464414104 its reverse (401414464), we get a palindrome (865828568).

The spelling of 464414104 in words is "four hundred sixty-four million, four hundred fourteen thousand, one hundred four".