469540800 has 210 divisors, whose sum is σ = 1726390248. Its totient is φ = 125176320.

The previous prime is 469540789. The next prime is 469540831. The reversal of 469540800 is 8045964.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127789 + ... + 131411.

Almost surely, 2^469540800 is an apocalyptic number.

469540800 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 469540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863195124).

469540800 is an abundant number, since it is smaller than the sum of its proper divisors (1256849448).

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

469540800 is a wasteful number, since it uses less digits than its factorization.

469540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 469540800 is about 21668.8901423215. The cubic root of 469540800 is about 777.2447165260.

The spelling of 469540800 in words is "four hundred sixty-nine million, five hundred forty thousand, eight hundred".