462740678400 has 864 divisors, whose sum is σ = 2050511758848. Its totient is φ = 88753766400.

The previous prime is 462740678383. The next prime is 462740678401. The reversal of 462740678400 is 4876047264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 462740678400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462740678401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19207162 + ... + 19231238.

Almost surely, 2^462740678400 is an apocalyptic number.

462740678400 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 462740678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025255879424).

462740678400 is an abundant number, since it is smaller than the sum of its proper divisors (1587771080448).

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

462740678400 is a wasteful number, since it uses less digits than its factorization.

462740678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24137 (or 24118 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 462740678400 in words is "four hundred sixty-two billion, seven hundred forty million, six hundred seventy-eight thousand, four hundred".