464135400 has 384 divisors, whose sum is σ = 1730246400. Its totient is φ = 114048000.

The previous prime is 464135389. The next prime is 464135429. The reversal of 464135400 is 4531464.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4595350 + ... + 4595450.

It is an arithmetic number, because the mean of its divisors is an integer number (4505850).

Almost surely, 2^464135400 is an apocalyptic number.

464135400 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 464135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865123200).

464135400 is an abundant number, since it is smaller than the sum of its proper divisors (1266111000).

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

464135400 is a wasteful number, since it uses less digits than its factorization.

464135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 464135400 is about 21543.8018928879. The cubic root of 464135400 is about 774.2506249251.

Adding to 464135400 its reverse (4531464), we get a palindrome (468666864).

The spelling of 464135400 in words is "four hundred sixty-four million, one hundred thirty-five thousand, four hundred".