461401920 has 280 divisors, whose sum is σ = 1876495104. Its totient is φ = 105421824.

The previous prime is 461401907. The next prime is 461401933. The reversal of 461401920 is 29104164.

It is an interprime number because it is at equal distance from previous prime (461401907) and next prime (461401933).

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 180169 + ... + 182711.

Almost surely, 2^461401920 is an apocalyptic number.

461401920 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 461401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938247552).

461401920 is an abundant number, since it is smaller than the sum of its proper divisors (1415093184).

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

461401920 is a wasteful number, since it uses less digits than its factorization.

461401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 461401920 is about 21480.2681547508. The cubic root of 461401920 is about 772.7276734904.

The spelling of 461401920 in words is "four hundred sixty-one million, four hundred one thousand, nine hundred twenty".