464053100 has 72 divisors (see below), whose sum is σ = 1153759488. Its totient is φ = 158702400.

The previous prime is 464053091. The next prime is 464053103. The reversal of 464053100 is 1350464.

It is a happy number.

It is a super-2 number, since 2×464053100² = 430690559239220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464053103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449585 + ... + 450615.

Almost surely, 2^464053100 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 464053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576879744).

464053100 is an abundant number, since it is smaller than the sum of its proper divisors (689706388).

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

464053100 is a wasteful number, since it uses less digits than its factorization.

464053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 464053100 is about 21541.8917460840. The cubic root of 464053100 is about 774.2048591183.

The spelling of 464053100 in words is "four hundred sixty-four million, fifty-three thousand, one hundred".