469154640240 has 720 divisors, whose sum is σ = 1867926471840. Its totient is φ = 104606760960.

The previous prime is 469154640211. The next prime is 469154640287. The reversal of 469154640240 is 42046451964.

469154640240 is a `hidden beast` number, since 4 + 69 + 1 + 546 + 4 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 547437892 + ... + 547438748.

It is an arithmetic number, because the mean of its divisors is an integer number (2594342322).

Almost surely, 2^469154640240 is an apocalyptic number.

469154640240 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 469154640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933963235920).

469154640240 is an abundant number, since it is smaller than the sum of its proper divisors (1398771831600).

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

469154640240 is a wasteful number, since it uses less digits than its factorization.

469154640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 469154640240 in words is "four hundred sixty-nine billion, one hundred fifty-four million, six hundred forty thousand, two hundred forty".