465678981900 has 1152 divisors, whose sum is σ = 1781885952000. Its totient is φ = 103130496000.

The previous prime is 465678981893. The next prime is 465678981953. The reversal of 465678981900 is 9189876564.

465678981900 is a `hidden beast` number, since 465 + 6 + 7 + 8 + 9 + 81 + 90 + 0 = 666.

It is a super-2 number, since 2×465678981900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2363852602 + ... + 2363852798.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776000).

Almost surely, 2^465678981900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465678981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976000).

465678981900 is an abundant number, since it is smaller than the sum of its proper divisors (1316206970100).

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

465678981900 is a wasteful number, since it uses less digits than its factorization.

465678981900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 465678981900 in words is "four hundred sixty-five billion, six hundred seventy-eight million, nine hundred eighty-one thousand, nine hundred".