464054400 has 384 divisors, whose sum is σ = 1753012800. Its totient is φ = 119808000.

The previous prime is 464054377. The next prime is 464054401. The reversal of 464054400 is 4450464.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (464054401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542335 + ... + 3542465.

Almost surely, 2^464054400 is an apocalyptic number.

464054400 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 464054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876506400).

464054400 is an abundant number, since it is smaller than the sum of its proper divisors (1288958400).

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

464054400 is a wasteful number, since it uses less digits than its factorization.

464054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 464054400 is about 21541.9219198288. The cubic root of 464054400 is about 774.2055820710.

It can be divided in two parts, 46405 and 4400, that added together give a palindrome (50805).

The spelling of 464054400 in words is "four hundred sixty-four million, fifty-four thousand, four hundred".