467389440 has 660 divisors, whose sum is σ = 2033014896. Its totient is φ = 102187008.

The previous prime is 467389411. The next prime is 467389459. The reversal of 467389440 is 44983764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321269 + ... + 20321291.

Almost surely, 2^467389440 is an apocalyptic number.

467389440 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 467389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016507448).

467389440 is an abundant number, since it is smaller than the sum of its proper divisors (1565625456).

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

467389440 is a wasteful number, since it uses less digits than its factorization.

467389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 467389440 is about 21619.1914742434. The cubic root of 467389440 is about 776.0558290509.

The spelling of 467389440 in words is "four hundred sixty-seven million, three hundred eighty-nine thousand, four hundred forty".