465074400 has 576 divisors, whose sum is σ = 1919877120. Its totient is φ = 95385600.

The previous prime is 465074383. The next prime is 465074411. The reversal of 465074400 is 4470564.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9895177 + ... + 9895223.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2^465074400 is an apocalyptic number.

465074400 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 465074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

465074400 is an abundant number, since it is smaller than the sum of its proper divisors (1454802720).

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

465074400 is a wasteful number, since it uses less digits than its factorization.

465074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 465074400 is about 21565.5836925412. The cubic root of 465074400 is about 774.7724062875.

It can be divided in two parts, 4650 and 74400, that multiplied together give a square (345960000 = 18600²).

The spelling of 465074400 in words is "four hundred sixty-five million, seventy-four thousand, four hundred".