61430464 has 42 divisors (see below), whose sum is σ = 125165612. Its totient is φ = 29913600.

The previous prime is 61430461. The next prime is 61430521. The reversal of 61430464 is 46403416.

It is a happy number.

It is a super-3 number, since 3×61430464³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61430461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107299 + ... + 107869.

Almost surely, 2^61430464 is an apocalyptic number.

61430464 is a gapful number since it is divisible by the number (64) 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 61430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62582806).

61430464 is an abundant number, since it is smaller than the sum of its proper divisors (63735148).

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

61430464 is an equidigital number, since it uses as much as digits as its factorization.

61430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 61430464 is about 7837.7588633486. The cubic root of 61430464 is about 394.5735160811.

The spelling of 61430464 in words is "sixty-one million, four hundred thirty thousand, four hundred sixty-four".