462645226560 has 224 divisors, whose sum is σ = 1602919498752. Its totient is φ = 112122501120.

The previous prime is 462645226553. The next prime is 462645226567. The reversal of 462645226560 is 65622546264.

It is an interprime number because it is at equal distance from previous prime (462645226553) and next prime (462645226567).

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

It is not an unprimeable number, because it can be changed into a prime (462645226567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66978627 + ... + 66985533.

Almost surely, 2^462645226560 is an apocalyptic number.

462645226560 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 462645226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801459749376).

462645226560 is an abundant number, since it is smaller than the sum of its proper divisors (1140274272192).

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

462645226560 is a wasteful number, since it uses less digits than its factorization.

462645226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 462645226560 in words is "four hundred sixty-two billion, six hundred forty-five million, two hundred twenty-six thousand, five hundred sixty".