462266078400 has 2268 divisors, whose sum is σ = 2134425809880. Its totient is φ = 94290739200.

The previous prime is 462266078269. The next prime is 462266078447. The reversal of 462266078400 is 4870662264.

462266078400 is a `hidden beast` number, since 462 + 26 + 60 + 78 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 11274782380 + ... + 11274782420.

Almost surely, 2^462266078400 is an apocalyptic number.

462266078400 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 462266078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067212904940).

462266078400 is an abundant number, since it is smaller than the sum of its proper divisors (1672159731480).

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

462266078400 is a wasteful number, since it uses less digits than its factorization.

462266078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 462266078400 in words is "four hundred sixty-two billion, two hundred sixty-six million, seventy-eight thousand, four hundred".