464454000 has 400 divisors, whose sum is σ = 1741424256. Its totient is φ = 119232000.

The previous prime is 464453989. The next prime is 464454017. The reversal of 464454000 is 454464.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7613970 + ... + 7614030.

Almost surely, 2^464454000 is an apocalyptic number.

464454000 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 464454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870712128).

464454000 is an abundant number, since it is smaller than the sum of its proper divisors (1276970256).

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

464454000 is a wasteful number, since it uses less digits than its factorization.

464454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 464454000 is about 21551.1948624664. The cubic root of 464454000 is about 774.4277426569.

The spelling of 464454000 in words is "four hundred sixty-four million, four hundred fifty-four thousand".