465545283840 has 2880 divisors, whose sum is σ = 2243723328000. Its totient is φ = 91299446784.

The previous prime is 465545283811. The next prime is 465545283851. The reversal of 465545283840 is 48382545564.

465545283840 is a `hidden beast` number, since 4 + 6 + 5 + 545 + 28 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×465545283840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11130 × 10374 × 4032.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8783873254 + ... + 8783873306.

It is an arithmetic number, because the mean of its divisors is an integer number (779070600).

Almost surely, 2^465545283840 is an apocalyptic number.

465545283840 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 465545283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121861664000).

465545283840 is an abundant number, since it is smaller than the sum of its proper divisors (1778178044160).

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

465545283840 is a wasteful number, since it uses less digits than its factorization.

465545283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 465545283840 in words is "four hundred sixty-five billion, five hundred forty-five million, two hundred eighty-three thousand, eight hundred forty".