464545805400 has 240 divisors, whose sum is σ = 1618243066440. Its totient is φ = 123509836800.

The previous prime is 464545805359. The next prime is 464545805413. The reversal of 464545805400 is 4508545464.

It is a happy number.

464545805400 is a `hidden beast` number, since 4 + 6 + 4 + 54 + 58 + 0 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5416855 + ... + 5501945.

Almost surely, 2^464545805400 is an apocalyptic number.

464545805400 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 464545805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809121533220).

464545805400 is an abundant number, since it is smaller than the sum of its proper divisors (1153697261040).

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

464545805400 is a wasteful number, since it uses less digits than its factorization.

464545805400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85456 (or 85438 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

It can be divided in two parts, 46454580 and 5400, that added together give a triangular number (46459980 = T₉₆₃₉).

The spelling of 464545805400 in words is "four hundred sixty-four billion, five hundred forty-five million, eight hundred five thousand, four hundred".