461470464 has 432 divisors, whose sum is σ = 1714212864. Its totient is φ = 116121600.

The previous prime is 461470463. The next prime is 461470489. The reversal of 461470464 is 464074164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461470463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499549 + ... + 6499619.

Almost surely, 2^461470464 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 461470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

461470464 is an abundant number, since it is smaller than the sum of its proper divisors (1252742400).

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

461470464 is a wasteful number, since it uses less digits than its factorization.

461470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 461470464 is about 21481.8636063075. The cubic root of 461470464 is about 772.7659360267.

It can be divided in two parts, 4614 and 70464, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 461470464 in words is "four hundred sixty-one million, four hundred seventy thousand, four hundred sixty-four".