464074240 has 320 divisors, whose sum is σ = 1414195200. Its totient is φ = 142442496.

The previous prime is 464074229. The next prime is 464074241. The reversal of 464074240 is 42470464.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464074241) 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, 9873897 + ... + 9873943.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2^464074240 is an apocalyptic number.

464074240 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 464074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

464074240 is an abundant number, since it is smaller than the sum of its proper divisors (950120960).

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

464074240 is a wasteful number, since it uses less digits than its factorization.

464074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 464074240 is about 21542.3824123517. The cubic root of 464074240 is about 774.2166152745.

It can be divided in two parts, 4640 and 74240, that multiplied together give a square (344473600 = 18560²).

The spelling of 464074240 in words is "four hundred sixty-four million, seventy-four thousand, two hundred forty".